What is another word for combination?
3579 synonyms found
Pronunciation:
[ kˌɒmbɪnˈe͡ɪʃən], [ kˌɒmbɪnˈeɪʃən], [ k_ˌɒ_m_b_ɪ_n_ˈeɪ_ʃ_ə_n]
Table of Contents
-
n.
-
•
- eclecticism.
-
•
- aggregate,
- antenatal.
-
•
- key,
- code,
- order,
- bunch,
- succession,
- sequence.
-
•
- near.
-
•
- assemble.
• act (noun)
- combination.
• admixture (noun)
- minglings.
• affiliation (noun)
- out-fits,
- out fit,
- joinings,
- in-corporations,
- mergings,
- out fits,
- banding togethers,
- in-corporation,
- in corporation,
- in corporations,
- tiein,
- out-fit.
• aggregate (noun)
- whole shooting matches,
- whole schmears,
- whole enchiladas,
- the work,
- whole ball wax.
• alliance (noun)
- inter-relations,
- inter-relation,
- inter relations,
- fraternizations,
- inter relation.
• alliance, association (noun)
- set,
- confederacy,
- circle,
- confederation,
- guild,
- conspiracy,
- club,
- coterie,
- combine,
- hookup,
- pool,
- clique,
- merging,
- cahoots,
- cabal,
- mafia,
- syndicate,
- camarilla,
- tie-up.
• alloy (noun)
- intermixtures,
- intermixture,
- denaturant.
• arrangement (noun)
- dis plays,
- de-sign,
- dis-plays,
- de-signs,
- de sign,
- de signs,
- dis positions,
- dis-position,
- dis play,
- rangings,
- dis-positions,
- dis-play,
- dis position.
• association (noun)
- tieup,
- re collection,
- concomitances,
- re-collections,
- re-collection,
- rat packs,
- lumping togethers,
- train thought,
- re collections,
- co operative,
- co operatives.
• blend (noun)
- interfusions,
- inter-fusions,
- inter-fusion,
- inter fusion,
- inter fusions.
• coalition (noun)
- mergences,
- anschlusses,
- coadunations,
- meldings.
• collaboration (noun)
- joint efforts,
- working togethers.
• collection (noun)
- obtainings,
- bringing together,
- mobilizations,
- caboodle,
- mobilization.
• combination (noun)
- mix,
- amalgam,
- assembly,
- infusion,
- brew,
- mixture,
- fusion,
- commixture,
- incorporation,
- paste,
- amalgamation,
- conglomerate,
- combining,
- compound,
- composite,
- ensemble,
- compounding.
• composition (noun)
- formation,
- invention,
- inclusion,
- fabrication,
- embodiment,
- compilation,
- constitution,
- construction.
• concentration (noun)
- single mindednesses,
- huddlings,
- close attentions,
- de-bate,
- de liberation,
- de-bates,
- de bates,
- focusings,
- coalescings,
- centerings,
- de bate,
- single-mindednesses,
- de-liberation,
- singlemindednesses,
- de-liberations,
- compactings,
- convergings,
- flockings,
- de liberations,
- single mindedness.
• concurrence (noun)
- tandem,
- synergy,
- synchronism,
- coincidence,
- concurrence.
• conglomeration (noun)
- hodge podge.
• connection (noun)
- partnerhip,
- conjointment,
- junction.
• consolidation (noun)
- consolidation.
• cooperation (noun)
- coadjuvancies,
- co operation,
- logrollings,
- co operations,
- co action,
- co actions,
- confunctions,
- playing balls,
- co-actions,
- teamings,
- synergisms,
- doing business withs,
- combined efforts.
• faction (noun)
- in sider,
- in-sider.
• federation (noun)
- syndications,
- federacies.
• grouping (noun)
- rangis.
• half-breed (noun)
- crossbreeds,
- mules,
- Cross-breed,
- mule,
- miscegnation,
- cross-breeds.
• hybrid (noun)
- out crosses,
- cross breed,
- halfblood,
- in-crosses,
- in crosses,
- miscegenations,
- out-crosses,
- half-castes,
- half-bloods,
- half castes,
- half caste,
- outcrosses,
- incrosses,
- halfbloods,
- halfcastes,
- halfcaste.
• integration (noun)
- integration.
• junction/juncture (noun)
- re unions,
- plugins,
- cross road,
- re union,
- cross roads,
- re-union,
- inter-sections,
- inter faces,
- plug ins,
- re-unions,
- concursions,
- inter-faces,
- inter face,
- inter sections,
- inter section,
- inter-section,
- inter-face.
• lineup (noun)
- lineup.
• mass (noun)
- lions share,
- great deals,
- greater parts,
- lion share.
• mess (noun)
- un tidinesses,
- de bris,
- de-bris,
- un tidiness,
- de-brises,
- un-tidinesses,
- dis-organizations,
- dis arrays,
- every which ways,
- un-tidiness,
- de brises,
- dis-arrays,
- dis array,
- dis organizations,
- dis organization,
- dis-organization,
- dis-array.
• miscellany (noun)
- Collectanea,
- potpourri,
- salad,
- Pasticcio.
• mixed bag (noun)
- all sorts,
- montages,
- montage.
• mixture (noun)
- mongrel,
- emulsion,
- mash,
- stew,
- amalgamate,
- blending,
- elixir,
- decoction,
- meld.
• mixture, blend (noun)
- coalescence,
- solution.
• Other relevant words: (noun)
- joint effort,
- Anschluss,
- troves,
- association,
- group,
- combo,
- coming together,
- staples,
- whole ball of wax,
- symbiosis,
- integrals,
- merger,
- collocations,
- union,
- dualities,
- mutualities,
- Interfusion,
- sectors,
- miscellany,
- trove,
- plug in,
- single-mindedness,
- mishmash,
- synergism,
- hodgepodge,
- consortia,
- fixed order,
- connection,
- interface,
- mortise,
- co-action,
- outcross,
- combos,
- league,
- whole,
- mixings,
- Massing,
- takeover,
- massings,
- system,
- unity,
- matings,
- close attention,
- Melding,
- whole shooting match,
- coalition,
- give and take,
- crossbreed,
- Juntos,
- the works,
- banding together,
- cooperation,
- mergence,
- gross,
- co-operative,
- consociations,
- concomitance,
- soups,
- partnership,
- orderings,
- Collectivity,
- Federacy,
- Coadunation,
- great deal,
- pair,
- shooting match,
- collocation,
- mutuality,
- co-operation,
- Olio,
- Monopolies,
- Teaming,
- soup,
- tribe,
- plug-ins,
- medley,
- collection,
- confunction,
- concoction,
- syndication,
- sum,
- whole shebang,
- package,
- coupler,
- consortium,
- insider,
- interrelation,
- match,
- messes,
- organization,
- miscegenation,
- intensifications,
- doing business with,
- admixture,
- responsiveness,
- co-ordination,
- organisms,
- mess,
- composition,
- coupling,
- logrolling,
- junto,
- miter,
- plugin,
- Gallimaufry,
- lumping together,
- dyads,
- plug-in,
- hook line and sinker,
- grouping,
- coordinations,
- combined effort,
- Cross-road,
- deuce,
- incross,
- party,
- gang,
- rat pack,
- dyad,
- takeovers,
- MITERS,
- collaboration,
- everything but the kitchen sink,
- lock stock and barrel,
- concursion,
- federation,
- in group,
- tie in,
- unification,
- pairings,
- Clusterings,
- ideology,
- faction,
- cross-roads,
- insiders,
- whole enchilada,
- Consociation,
- sisterhood,
- concentration,
- Doublets,
- blend,
- splinter group,
- alloy,
- interfaces,
- mass,
- couplers,
- coordination,
- whole nine yards,
- whole schmear,
- motleys,
- frame of reference,
- co-operations,
- deuces,
- duality,
- interrelations,
- ingroup,
- affiliation,
- splice,
- everything but kitchen sink,
- conglomeration,
- Coadjuvancy,
- half-blood,
- half-breed,
- train of thought,
- in-group,
- doublet,
- agglutination,
- tie,
- singlemindedness,
- fraternity,
- co-operatives,
- logical order,
- half-caste,
- hybrid,
- greater part,
- mob,
- two of a kind,
- alliance,
- Symbioses,
- linkings,
- mortises,
- ring,
- fraternization,
- rangi,
- arrangement,
- synergies,
- intensification,
- cooperatives,
- working together.
• package (noun)
- biddle,
- TINS,
- Sheaves,
- sheaf,
- tin.
• pair (noun)
- two of kind,
- two kind,
- two a kind.
• ring (noun)
- ingroups,
- in-groups,
- in groups.
• system (noun)
- co-ordinations,
- co ordinations,
- fixed orders,
- co ordination,
- logical orders,
- frame reference.
• unification (noun)
- interlockings.
• union (noun)
- inter course,
- agglutinations,
- coming togethers,
- uni sons,
- uni son,
- inter courses,
- uni-son,
- inter-course,
- uni-sons,
- inter-courses.
• unity (noun)
- inter-connection,
- undividedness,
- inter-connections,
- indivisibilities,
- Soleness,
- homogeneousness,
- Indivisibility,
- Integrality.
• variety (noun)
- assortment.
• whole (noun)
- whole nine yard,
- lock stock and barrels,
- lock stock barrel,
- whole shebangs,
- collectivities,
- hook line and sinkers,
- hook line sinkers,
- hook line sinker,
- lock stock barrels.
-
v.
• Other relevant words: (verb)
- joining,
- jumble.
-
Other synonyms:
-
•
- Pass-key,
- prognostic,
- fast-acting,
- prosthetic,
- habit-forming,
- gynecological,
- surgical,
- skeleton key,
- antibacterial,
- master key,
- intravenous,
- patchwork,
- hypodermic,
- broad-spectrum,
- cross,
- emollient,
- hotchpotch,
- crazy quilt,
- melange,
- ragbag,
- orthopedic,
- palliative,
- psychoactive,
- conjugation,
- confection,
- paramedical,
- psychedelic,
- powerful,
- aseptic,
- bloodless,
- over-the-counter,
- underwear,
- hallucinatory,
- hallucinogenic,
- pharmaceutical,
- nonprescription,
- latchkey,
- homeopathic,
- conjunction,
- marriage,
- mixed bag,
- mind-bending,
- well-woman,
- medical,
- key ring,
- mosaic,
- POST OP,
- postoperative,
- tapestry,
- curative,
- confluence,
- performance-enhancing,
- synthesis,
- Medicated.
-
•
- remedial,
- cohesion,
- antimalarial,
- prophylactic,
- nonspecific,
- elective,
- psychiatric,
- bionic,
- sanitary,
- diagnostic,
- noninvasive,
- medicinal,
- oral,
- therapeutic,
- distribution,
- cartel,
- potent,
- med,
- health,
- formulation,
- minor,
- holistic,
- manipulative.
-
•
- narcotic,
- fob,
- trust,
- invasive,
- corrective,
- clinical,
- bloc.
-
•
- conventional.
-
•
- attachment.
-
•
- mild.
-
•
- positive.
-
•
- negative.
-
•
- clear.
• assembly
- gathering.
• Other relevant words:
- uncleanness,
- slews,
- grumble,
- realize,
- grip,
- metre,
- veto,
- summation,
- line of descent,
- service,
- chess opening,
- lead,
- choking coil,
- eyelet,
- counterpoise,
- distinguish,
- unmortgaged,
- parade,
- relation back,
- foul up,
- bedding material,
- oppugn,
- basket rummy,
- gobble,
- payload,
- play,
- die,
- dickens,
- hope,
- modification,
- coil,
- focussing,
- connate,
- take stock,
- anchor ring,
- circumstances,
- military operation,
- take aim,
- blend in,
- suspension system,
- parsimony,
- couple,
- hall,
- file cabinet,
- allowance,
- desegregation,
- reduplicate,
- allot,
- mountain,
- comparing,
- sobriety,
- strand,
- kibosh,
- founding,
- hinder,
- whoreson,
- sheer,
- atomic pile,
- condense,
- equilibrize,
- uniformness,
- foregather,
- branch,
- sequester,
- regularize,
- write in code,
- rendering,
- barrage fire,
- agglutinating activity,
- demulcent,
- companion,
- cut across,
- genu,
- tick,
- exsanguine,
- jamming,
- decipherable,
- twice,
- birling,
- disjuncture,
- debilitation,
- fate,
- mannikin,
- governing body,
- central,
- cringle,
- prodigy,
- go over,
- bond certificate,
- bottleful,
- coquette,
- cross-fertilisation,
- oral exam,
- effect,
- social intercourse,
- doubling,
- equilibrise,
- add,
- cycle,
- incorporated,
- freeze,
- sib,
- supporter,
- roadblock,
- material,
- befit,
- affair,
- push-down store,
- faith,
- helper,
- alike,
- cover,
- comparability,
- garland,
- meeting of minds,
- dealing,
- block off,
- bungle,
- industrial plant,
- suitcase,
- exonerated,
- sign,
- interwoven,
- work,
- fitting,
- essence,
- installing,
- beatnik,
- fraudulent scheme,
- indiscriminately,
- commercial enterprise,
- geartrain,
- quite a little,
- doughnut,
- wee-wee,
- marijuana cigarette,
- adversary,
- clone,
- conflate,
- blackball,
- handbag,
- circuit card,
- involution,
- disconnection,
- miter joint,
- view,
- bond paper,
- corner,
- diligence,
- looker,
- crying,
- lummox,
- hunting lodge,
- interrogate,
- exsanguinous,
- unfaltering,
- conglutination,
- coquet,
- photographic emulsion,
- wallow,
- outwit,
- simplification,
- pretend,
- deal out,
- overconfident,
- deeds,
- unhurt,
- sexual union,
- revolve,
- bulge,
- get in touch,
- business concern,
- stuffiness,
- lay away,
- pay,
- lap joint,
- compact car,
- oculus,
- reprieve,
- boot,
- binder,
- clean,
- hatful,
- centripetal,
- inclosure,
- bounderish,
- pulley,
- large number,
- drum up,
- transposition,
- business firm,
- paramedic,
- reduce,
- face of the earth,
- heating system,
- romance,
- scheme,
- cooking,
- heart and soul,
- dovetail joint,
- reminiscence,
- clog up,
- mental process,
- venial,
- make happy,
- unnumerable,
- encumbrance,
- underbred,
- add up,
- recollect,
- foul,
- duplication,
- addictive,
- exhaust,
- reefer,
- small fry,
- ginmill,
- limit,
- tack together,
- replicate,
- inbuilt,
- slap,
- spinal fusion,
- cup of tea,
- constellate,
- attendant,
- embarrass,
- even out,
- charge,
- railroad tie,
- foundation,
- enfeeblement,
- old salt,
- articulatio,
- opposing,
- wrack,
- eec,
- pull in,
- glue,
- confuse,
- gumbo soil,
- canvas,
- drum,
- crime syndicate,
- 1,
- rigidly,
- adjust,
- muddy,
- magnetic declination,
- waistband,
- dickhead,
- effectuate,
- doubtfulness,
- book,
- foyer,
- composite plant,
- militarization,
- healing,
- disciplinal,
- literary argument,
- twit,
- varicoloured,
- railroad train,
- sake,
- diminution,
- cookery,
- jollify,
- consistency,
- depot,
- localise,
- paying attention,
- numberless,
- right-down,
- pudding stone,
- rope,
- auction block,
- bray,
- bind off,
- tintinnabulation,
- lulu,
- appeal,
- coition,
- conceptualisation,
- cementum,
- gird,
- roller,
- focalization,
- counterchange,
- goon,
- dear,
- wedlock,
- installment,
- induction,
- rabble,
- unfastener,
- partner off,
- textile,
- summarise,
- base,
- bicycle-built-for-two,
- telephone number,
- reconcile,
- glaring,
- reference frame,
- fall in,
- bollocks,
- readjustment,
- make water,
- soporific,
- household,
- option,
- standstill,
- concentre,
- mystify,
- shell,
- wheel,
- add-in,
- portmanteau,
- equivalence,
- ask,
- ashen,
- divers,
- nonaged,
- tar,
- get across,
- cakehole,
- calendar method,
- countless,
- earthy,
- oddments,
- transversal,
- communicating,
- telling,
- confederative,
- old ironsides,
- run off,
- put away,
- skirt,
- lying,
- manikin,
- crossway,
- moor,
- personal business,
- simple machine,
- software system,
- intent,
- cosmic string,
- scramble,
- call into question,
- mess hall,
- corps de ballet,
- puddle,
- plain,
- heighten,
- engage,
- identify,
- bitstock,
- hybridisation,
- cleave,
- spousal relationship,
- vigor,
- whole kit,
- egregious,
- legion,
- fascicule,
- surgery,
- synchrony,
- premix,
- pharmaceutic,
- mortice,
- receipt,
- patch,
- repose,
- calico,
- interruption,
- find,
- pocketbook,
- hamlet,
- consolidative,
- organic structure,
- big bucks,
- backlog,
- enjoin,
- comradery,
- rotary,
- shut up,
- ecumenicalism,
- orthopaedic,
- stock list,
- civilise,
- narcotizing,
- draw a blank,
- of course,
- coiffe,
- chemical element,
- encrypt,
- overreach,
- even off,
- people,
- mental synthesis,
- medicative,
- jalopy,
- plug into,
- pulley block,
- tease,
- eu,
- impede,
- ramble,
- clear up,
- terminus,
- multicolored,
- fit in,
- thick,
- deaden,
- exit,
- scraps,
- crabbed,
- fiat,
- chock up,
- cling,
- ecumenicism,
- offset,
- acculturation,
- elected,
- voltaic pile,
- south,
- attain,
- planning,
- circuit,
- localize,
- squeeze,
- order of magnitude,
- stimulate,
- crowd together,
- battle,
- chew,
- constitution of the united states,
- down,
- shuffle,
- nonage,
- consociate,
- holy order,
- cognitive process,
- dominate,
- mightily,
- educate,
- downright,
- believe,
- fry,
- chat up,
- preventative,
- resonance,
- take,
- lineage,
- nap,
- absolute,
- myriad,
- hymeneals,
- ensnare,
- tilt,
- linguistic rule,
- multi-coloured,
- autobus,
- hullabaloo,
- naturally,
- complot,
- trespassing,
- sinewy,
- realise,
- serial publication,
- cay,
- run out,
- consecrate,
- entrance hall,
- excitement,
- bedding,
- environ,
- conciliate,
- lenitive,
- jumbal,
- emcee,
- arouse,
- mental home,
- distil,
- adaptation,
- stupefy,
- nuclear fusion reaction,
- unthaw,
- pursuit,
- strangulate,
- go under,
- miscellanea,
- dixieland,
- consistence,
- commemoration,
- cylinder block,
- cast,
- wedge,
- designation,
- balance wheel,
- imprint,
- incursive,
- distribute,
- data file,
- positioning,
- pacification,
- pin,
- centre,
- conception,
- kick the bucket,
- obturate,
- shading,
- spring,
- decease,
- adhesion,
- electronic network,
- encircle,
- while,
- range of mountains,
- sweat,
- oral examination,
- anteroom,
- i,
- clustered,
- safe,
- go up,
- implication,
- bureaucratic procedure,
- administer,
- pull up,
- fastener,
- numeral,
- grind,
- stiff,
- voluminousness,
- compactness,
- register,
- ride,
- department of energy,
- stays,
- steady,
- convergency,
- run across,
- facilitate,
- lock away,
- physical composition,
- wedding party,
- close,
- play a trick on,
- backpack,
- constituent,
- power train,
- thaw,
- coordinate system,
- torso,
- peach,
- reference system,
- necktie,
- possible action,
- telephone,
- possession,
- personify,
- cook up,
- doubt,
- hook up with,
- patchwork quilt,
- swap,
- lather,
- flexible joint,
- orthodontic braces,
- forum,
- worry,
- course of instruction,
- unharmed,
- beau monde,
- affright,
- pick,
- wish,
- pocket-sized,
- mellowness,
- flip,
- domiciliate,
- sic,
- march,
- personal identity,
- soldering,
- by-blow,
- regularise,
- canvas tent,
- library paste,
- fable,
- bludgeon,
- drift,
- easiness,
- fearfulness,
- identity operator,
- ordination,
- add together,
- passe-partout,
- relate,
- conjure,
- multiplex,
- enterprisingness,
- army corps,
- middle,
- pick up,
- get married,
- draw together,
- charabanc,
- parliamentary procedure,
- ball,
- dyer’s mignonette,
- recall,
- ordain,
- political orientation,
- cure,
- pull out,
- assent,
- shipment,
- illegitimate,
- cram,
- viva,
- gemini,
- pass water,
- asshole,
- reunification,
- assiduity,
- acquit,
- sex act,
- logical argument,
- lay,
- bolt out,
- double up,
- inquiry,
- established,
- guest,
- mobilisation,
- irrefutable,
- presentation,
- beaut,
- whorl,
- internalization,
- sob,
- crush,
- focal point,
- parsimoniousness,
- sketch,
- assoil,
- ism,
- entailment,
- opus,
- interrogation,
- bad-tempered,
- barrage,
- plan,
- theme,
- scare,
- remainder,
- tote up,
- curtain raising,
- ancestry,
- dead ringer,
- kitty,
- correct,
- golf links,
- randomly,
- barricado,
- purchase order,
- compartmentalization,
- multi-color,
- tissue paper,
- comradeliness,
- dictate,
- headstone,
- intertwine,
- blocking,
- direct,
- engine block,
- peer,
- two-bagger,
- trade wind,
- pocket-size,
- flank,
- cognitive operation,
- half-bred,
- tying,
- assistance,
- abeyance,
- invading,
- dish out,
- outrank,
- take a shit,
- desegregate,
- muck up,
- causa,
- interview,
- musical rhythm,
- wash up,
- traffic circle,
- marriage ceremony,
- carry,
- summate,
- particoloured,
- paper,
- heaps,
- mind,
- practice,
- fit out,
- encounter,
- objective,
- elbow joint,
- mete out,
- align,
- trend,
- cumulate,
- curlicue,
- buttonhole,
- hustle,
- variety show,
- ticktack,
- subcutaneous,
- bagful,
- decamp,
- centering,
- mitigatory,
- bumble,
- deal,
- double over,
- invent,
- gag,
- boxwood,
- sweet,
- ii,
- matching,
- software,
- tax deduction,
- computer code,
- naval division,
- beingness,
- preference,
- tucker,
- consanguineous,
- entree,
- sweep,
- prenatal,
- link up,
- ontogenesis,
- ordinate,
- play off,
- resultant role,
- contract bridge,
- conformity,
- constipate,
- porcine,
- stage business,
- shell out,
- mutualness,
- cud,
- bon ton,
- earn,
- concretion,
- resister,
- tapered,
- gear,
- berth,
- intensity,
- arguing,
- relegate,
- nearly,
- increment,
- aggregative,
- honor,
- at random,
- stifle,
- unmannered,
- draft,
- damaging,
- radical,
- stool,
- ec,
- centralisation,
- sectionalisation,
- swelling,
- dispersion,
- employment,
- substitute,
- exonerate,
- sell,
- belief,
- individuation,
- line of work,
- escort,
- dance band,
- get together,
- vitality,
- conceptualization,
- whole kit and boodle,
- couplet,
- thwart,
- exercise set,
- gasbag,
- prescribe,
- smack,
- bowed stringed instrument,
- intersection point,
- orientation course,
- formal,
- seafarer,
- conference,
- bowl,
- regulate,
- fret,
- primitive,
- phylogenetic relation,
- civilize,
- smart set,
- summarize,
- mutant,
- blank out,
- asylum,
- clear-cut,
- toller,
- cincture,
- bloodshed,
- facility,
- sundry,
- fuckup,
- found,
- law of similarity,
- heavyset,
- apparatus,
- pond,
- edifice,
- development,
- brand,
- edition,
- comprehensiveness,
- contend,
- halo,
- statistical distribution,
- cloudy,
- antechamber,
- master of ceremonies,
- intention,
- burl,
- variance,
- mickle,
- social station,
- chronological sequence,
- feeling,
- many-sided,
- pack together,
- lock up,
- interpretation,
- agglomerated,
- multifaceted,
- doctrine,
- devil,
- first step,
- willy-nilly,
- built-in,
- plenty,
- fused,
- stabilize,
- debar,
- fender,
- engrossment,
- growl,
- approach pattern,
- okra plant,
- lowbred,
- psychotropic,
- parole,
- theatre,
- gradation,
- mannequin,
- building complex,
- hypo,
- single,
- coalesced,
- public debate,
- stumblebum,
- product,
- youngster,
- shipwreck,
- plant,
- debase,
- full,
- backup,
- auxiliary,
- antibacterial drug,
- preventive,
- roster,
- direction,
- folk,
- structured,
- open,
- arranging,
- jack,
- count,
- hale,
- phoney,
- rumple,
- organic law,
- fluctuation,
- crosstie,
- echo,
- prescript,
- coif,
- roundabout,
- conk,
- chemical attraction,
- nag,
- parti-color,
- galax,
- dual,
- exculpate,
- confiscate,
- mishandle,
- serenity,
- collaborator,
- accretion,
- forgather,
- kindliness,
- metal,
- estimate,
- homogenisation,
- translation,
- fake,
- apposition,
- sum of money,
- say,
- tier,
- slew,
- cream,
- cabaret,
- bogus,
- outgrowth,
- deposit,
- solid,
- spread,
- adjuvant,
- disorder,
- ill-mannered,
- hamper,
- undoer,
- beak,
- soma,
- doe,
- chumminess,
- fly,
- proportionality,
- grummet,
- pause,
- hive up,
- blunder,
- putsch,
- authorize,
- world wide web,
- asphyxiate,
- portmanteau word,
- workings,
- regular recurrence,
- serial,
- blockade,
- penny-pinching,
- healthful,
- agree,
- dozens,
- prototype,
- stake,
- rail off,
- defecate,
- paint,
- unclutter,
- mutation,
- furrow,
- maffia,
- avatar,
- surveil,
- garbage disposal,
- feeding bottle,
- fit,
- spend a penny,
- crunch,
- artwork,
- grayback,
- fluff,
- equalize,
- reign,
- endeavor,
- accrual,
- range,
- crap,
- stock-take,
- flap,
- cultivate,
- nursing bottle,
- occupation,
- lucifer,
- mighty,
- confluent,
- termination,
- lout,
- ecesis,
- get to,
- energize,
- home,
- bring,
- symptomatic,
- portion,
- totally,
- coordination compound,
- fix,
- pot,
- wonder,
- fellow feeling,
- mental confusion,
- incarnation,
- kit and caboodle,
- police lineup,
- marry,
- bobble,
- homework,
- ball club,
- saloon,
- help oneself,
- interrelationship,
- political theory,
- accessory,
- unwritten,
- halt,
- component,
- rag,
- unclean,
- pit,
- frame,
- tamp,
- unbendable,
- theater,
- antagonist,
- gang fight,
- musical composition,
- herculean,
- build,
- painted,
- warming,
- get hitched with,
- solidness,
- trounce,
- frustrate,
- sexual relation,
- nominate,
- lots,
- loanblend,
- variant,
- knock-down,
- pyramids of egypt,
- rumbling,
- coherency,
- inclusion body,
- baggage,
- muscular,
- reverberate,
- fuck up,
- trail,
- postulate,
- line,
- readable,
- professing,
- ram,
- intersect,
- press,
- mobilize,
- extra,
- meat,
- board,
- glob,
- tally,
- orifice,
- lymph gland,
- adoption,
- sharpen,
- moderation,
- annex,
- revile,
- offstage,
- u.s. constitution,
- friendly relationship,
- lock in,
- endure,
- vestibule,
- paradigm,
- uncivil,
- discover,
- lymph node,
- mix-up,
- idea,
- conjunct,
- arrange,
- colonial,
- checkup,
- registration,
- keystone,
- law of proximity,
- amaze,
- situated,
- lap,
- meshing,
- tons,
- focalize,
- banish,
- absquatulate,
- abut,
- converge,
- articulate,
- golfclub,
- vex,
- anatomy,
- determined,
- unit of measurement,
- client,
- restorative,
- bivalent,
- numerate,
- immobile,
- draw close,
- murky,
- aid,
- hybridize,
- voice,
- concomitant,
- go,
- porta,
- majority,
- micturate,
- onus,
- stymy,
- receipts,
- become,
- develop,
- golf-club,
- three-fold,
- incontrovertible,
- drawing string,
- gang up,
- merchandise,
- messiness,
- rear,
- golf club,
- slope,
- loge,
- carnal knowledge,
- co-op,
- mirky,
- hypodermic syringe,
- outcome,
- contrive,
- line of reasoning,
- troth,
- banter,
- mellow,
- chain of mountains,
- thoroughgoing,
- initiative,
- dead,
- job,
- seduce,
- unhurriedness,
- survival,
- oblige,
- heating plant,
- interlace,
- innkeeper,
- butt on,
- piss,
- temporary removal,
- derivation,
- fixation,
- prevail,
- bed,
- atomic reactor,
- gynecologic,
- haleness,
- sack up,
- var.,
- throttle,
- mental block,
- condition,
- respite,
- squirrel away,
- musical arrangement,
- flagrant,
- summon,
- piling,
- orthopedical,
- stacks,
- spoil,
- determine,
- matter to,
- physical body,
- rationalisation,
- soaking up,
- mix in,
- soft,
- course of study,
- depression,
- swop,
- photomosaic,
- puzzle,
- urinate,
- complement,
- industriousness,
- affaire,
- interweave,
- fiction,
- harness,
- art,
- position,
- peace treaty,
- interrelatedness,
- means,
- screw up,
- access,
- traffic pattern,
- yokelish,
- powder compact,
- human relationship,
- mound,
- ravisher,
- barroom,
- come across,
- masonry,
- opposition,
- rival,
- crinkle,
- anamnesis,
- nipper,
- confect,
- retrieve,
- parcel,
- conglobation,
- accompany,
- list,
- human knee,
- equilibrate,
- salving,
- organise,
- word,
- musical harmony,
- consequence,
- memorial,
- neutering,
- old bag,
- spate,
- public opinion poll,
- inveigh,
- edge,
- come on,
- happenstance,
- racquet,
- confirming,
- forked,
- motivation,
- radio link,
- hatchway,
- crumple,
- chain reactor,
- review,
- conspire,
- health check,
- emergency brake,
- acceptation,
- ready,
- lock chamber,
- tucker out,
- clod,
- categorisation,
- gawk,
- quid,
- disconfirming,
- scads,
- designing,
- grommet,
- procedure,
- rubble,
- tack,
- methodicalness,
- enquiry,
- get,
- pole,
- dilute,
- libra,
- mind-blowing,
- social structure,
- obligate,
- equivalent weight,
- take form,
- commit,
- wooing,
- pigeonholing,
- levy en masse,
- cargo,
- legal jointure,
- give,
- harmonise,
- squelch,
- armoury,
- knitwork,
- muckle,
- frame-up,
- clump,
- groom,
- clan,
- existence,
- trick,
- mend,
- accruement,
- billfold,
- muster up,
- patronage,
- antimalarial drug,
- catch up with,
- untier,
- interrogative sentence,
- brawny,
- dyer’s rocket,
- pickle,
- adulterate,
- stria,
- expose,
- stick to,
- rest,
- clientele,
- political party,
- pee,
- admittance,
- thump,
- decrease,
- motive,
- unnumberable,
- axis vertebra,
- succinct,
- mending,
- sectionalization,
- smorgasbord,
- inter-group communication,
- rhythm method of birth control,
- alleviative,
- firmly,
- destiny,
- boo-boo,
- dance orchestra,
- narcotising,
- shackle,
- cash in one’s chips,
- draw,
- kit out,
- sexual congress,
- ilk,
- quislingism,
- alteration,
- hold,
- virile,
- piddle,
- tie down,
- prognostication,
- abridge,
- cache,
- perk up,
- jibe,
- fear,
- stark,
- launch,
- single file,
- physique,
- concentrate,
- diverseness,
- sight,
- quiver,
- okra,
- assiduousness,
- companionship,
- tie beam,
- north,
- variegate,
- interlock,
- calendar method of birth control,
- one,
- comprise,
- typeset,
- kid,
- passenger vehicle,
- coach,
- social organization,
- hoi polloi,
- piles,
- end,
- labor union,
- wed,
- detritus,
- selective service,
- fade,
- city block,
- substitution,
- unwaveringly,
- notecase,
- cluster,
- beat out,
- everlasting,
- assistant,
- medical checkup,
- livid,
- gene linkage,
- auto,
- primal,
- internalisation,
- fictionalization,
- art object,
- frighten,
- factor,
- fence in,
- reproduction,
- trustfulness,
- medical exam,
- melting,
- analyse,
- butt,
- swan,
- mark,
- gyre,
- rate,
- well-nigh,
- nub,
- summary,
- compeer,
- perish,
- scout troop,
- accordance of rights,
- florilegium,
- cleared,
- clutter,
- sum up,
- thorough,
- scroll,
- 144,
- bandage,
- radiation pattern,
- tot,
- comfit,
- scuttle,
- prick,
- turn,
- immix,
- pass,
- underclothes,
- chemical formula,
- transverse,
- abide,
- psychiatric hospital,
- roil,
- personal matters,
- masses,
- pore,
- convention,
- systematisation,
- nidus,
- install,
- all in,
- fuse,
- tike,
- completely,
- fuddle,
- sail,
- vilify,
- simple mindedness,
- impose,
- swivel,
- stiffly,
- crude,
- all-purpose,
- reaction,
- incumbrance,
- track,
- out-and-out,
- making,
- load down,
- luggage compartment,
- contiguousness,
- succus,
- catch,
- ringlet,
- beat up,
- mutualism,
- negatively charged,
- mass meeting,
- face pack,
- envelopment,
- manakin,
- exchange,
- consummate,
- desire,
- geminate,
- message,
- perplex,
- recruit,
- ship’s company,
- positive degree,
- meeting place,
- dumbfound,
- standoff,
- fill,
- consanguine,
- safety,
- gulyas,
- tiddler,
- electronic jamming,
- sexual intercourse,
- nitty-gritty,
- hardened,
- english,
- consort,
- samara,
- tangle,
- pratfall,
- antifertility,
- contestation,
- event,
- stunt woman,
- suspender,
- disciplinary,
- classification,
- synchronization,
- equipoise,
- haphazardly,
- crossing,
- parking brake,
- fencing,
- take on,
- locating,
- concord,
- right,
- caravan,
- master of education,
- episode,
- soldiery,
- illegitimate enterprise,
- arrant,
- body structure,
- comrade,
- make believe,
- helter-skelter,
- prescribed,
- vituperate,
- part,
- braces,
- harmoniousness,
- ringing,
- hardening,
- dead body,
- sign of the zodiac,
- think,
- oaf,
- fundamental law,
- gravel,
- mountain range,
- pulsate,
- sport,
- interdependency,
- contention,
- small-scale,
- truehearted,
- solve,
- loan-blend,
- puffiness,
- possibility,
- spile,
- video display,
- paradiddle,
- phony,
- cardinal,
- organize,
- purpose,
- change,
- sanative,
- night club,
- grudge,
- partner in crime,
- blood-related,
- bollocks up,
- tidy sum,
- flim-flam,
- prevalence,
- principle,
- bod,
- basket,
- proboscis,
- occlude,
- rein,
- sterile,
- commingle,
- tantamount,
- rescript,
- two-fold,
- simultaneousness,
- nestling,
- gist,
- dimension,
- intercrossed,
- cautionary,
- stray,
- colligate,
- connecter,
- bactericide,
- switch,
- partitioning,
- warhead,
- adhere,
- ruler,
- calculation,
- round,
- convulsion,
- membership,
- constriction,
- gild,
- stand,
- blood relative,
- shape,
- consider,
- examine,
- ticktock,
- word form,
- cut,
- counterbalance,
- therapeutical,
- grammatical construction,
- luck,
- blockage,
- performance,
- descriptor,
- prepare,
- cut through,
- truss,
- reactivity,
- framework,
- involve,
- steadfast,
- cipher,
- grant,
- collaborationism,
- follow,
- key fruit,
- canister,
- mansion,
- come,
- bunch up,
- revel,
- interrogative,
- demand,
- compile,
- represent,
- final result,
- smasher,
- concluding,
- add-on,
- compress,
- motion,
- flirt,
- press out,
- transpose,
- leave,
- manufacture,
- insane asylum,
- individualism,
- slice,
- arras,
- moil,
- wassail,
- stunner,
- kinship group,
- fundamental,
- multi-colored,
- minginess,
- mold,
- resolution,
- positivistic,
- axial rotation,
- thickening,
- system of rules,
- nibble,
- adherence,
- twin,
- straightforwardness,
- cubitus,
- fulfill,
- settle,
- located,
- richness,
- go-ahead,
- philosopher’s stone,
- replace,
- ceremonious,
- musical accompaniment,
- pull,
- knell,
- survival of the fittest,
- stunt man,
- bombardment,
- rig,
- rolling,
- magnetic variation,
- push,
- approximate,
- tolerant,
- load up,
- watchword,
- distill,
- peal,
- multicolor,
- fixture,
- phone number,
- drove,
- hashish,
- innumerable,
- surgical procedure,
- spliff,
- suit of clothes,
- small,
- galvanic pile,
- stymie,
- parry,
- push-down list,
- transcription,
- battalion,
- fight,
- come near,
- narrow,
- equating,
- necessitate,
- legal profession,
- friction match,
- omen,
- twofold,
- traveling bag,
- produce,
- burden,
- smuttiness,
- opinion,
- twine,
- meander,
- notion,
- otc,
- closure,
- come up,
- straighten out,
- camaraderie,
- admission fee,
- mussiness,
- loop-the-loop,
- white,
- dethaw,
- fast,
- go down,
- aggroup,
- flub,
- botch up,
- server,
- replacement,
- concenter,
- conform to,
- virtually,
- stomach,
- keep down,
- zip,
- entente cordiale,
- raillery,
- take a leak,
- crystalise,
- indigence,
- cognate word,
- love child,
- railing,
- closed chain,
- coiffure,
- remedy,
- double-dyed,
- pith,
- isthmus,
- bell ringer,
- loading,
- runway,
- adjunction,
- wrinkle,
- unshakable,
- doubled,
- data link,
- report,
- receive,
- co-occurrence,
- clog,
- string along,
- stretch,
- parallelism,
- pauperism,
- fellow,
- tapering,
- crash,
- penning,
- counterweight,
- interestingness,
- degradation,
- mates,
- tauten,
- mental picture,
- throw,
- gibe,
- constitute,
- brewage,
- bring in,
- patch up,
- lay down,
- normal,
- partition,
- motorbus,
- incorporate,
- price of admission,
- understanding,
- chassis,
- assort,
- connivance,
- baffle,
- full treatment,
- work party,
- combining weight,
- fulfil,
- face,
- watch pocket,
- positively charged,
- cumulus,
- tendency,
- conflict,
- solidifying,
- close up,
- entrap,
- bring forward,
- bail,
- croak,
- opening night,
- inscribe,
- light up,
- mare’s nest,
- comminute,
- radiation diagram,
- play a joke on,
- unfluctuating,
- trade union,
- chunk,
- score,
- repair,
- class,
- eq,
- innocence,
- junk,
- similar,
- study,
- accomplice,
- meanness,
- sleeper,
- mix up,
- lady’s-finger,
- constrict,
- contour,
- federation of tribes,
- par,
- proportionateness,
- gynaecological,
- air division,
- tell,
- tyke,
- stamp battery,
- nightclub,
- maturation,
- mathematical group,
- string up,
- pick at,
- anatomical structure,
- touch base,
- accommodation,
- increase,
- social rank,
- assault and battery,
- expression,
- craft,
- subject matter,
- well-defined,
- loyal,
- rigid,
- obstruct,
- chemical group,
- place,
- scores,
- even up,
- annexe,
- key out,
- stabilise,
- listen,
- unanimous,
- relative,
- turnout,
- solvent,
- image,
- stash,
- waistcloth,
- final,
- grooming,
- dictated,
- bus,
- heartsease,
- serve,
- outfox,
- muddiness,
- philosophical system,
- razz,
- whole kit and caboodle,
- bole,
- parcel out,
- loads,
- shelling,
- grumpy,
- transaction,
- www,
- practice bundling,
- advisement,
- military personnel,
- relative majority,
- crick,
- regulation,
- collocate,
- hypothesis,
- bushed,
- multifarious,
- smother,
- mutt,
- beseem,
- backstage,
- symmetricalness,
- entireness,
- the like,
- dichotomy,
- take a crap,
- name,
- advocacy group,
- nigh,
- axial motion,
- public security,
- ancillary,
- medical examination,
- concordat,
- entrance fee,
- raw,
- drawstring,
- process,
- unwavering,
- slowness,
- duple,
- bolt of lightning,
- sheet,
- objet d’art,
- the great unwashed,
- hybridizing,
- squad,
- sweetheart,
- passel,
- optic,
- foreshorten,
- ruffle,
- contraceptive,
- mobilise,
- noise,
- connector,
- chronological succession,
- equip,
- occlusion,
- enlighten,
- food waste,
- regard,
- ecological succession,
- browning automatic rifle,
- exculpated,
- hole,
- soporiferous,
- lay out,
- placed,
- rules of order,
- multi-colour,
- covenant,
- vane,
- skin color,
- disappear,
- hullo,
- mate,
- hostelry,
- varicolored,
- school,
- sign up,
- dominion,
- bunch together,
- particolored,
- thrum,
- entire,
- third house,
- social club,
- whoop it up,
- compare,
- adulteration,
- loop topology,
- instauration,
- good deal,
- equate,
- hiatus,
- show,
- fictionalisation,
- intensify,
- phase,
- multicolour,
- acceptance,
- repeat,
- twist,
- shrink,
- printing,
- fiber bundle,
- vagabond,
- touch,
- blanched,
- ace,
- hanging,
- thwartwise,
- striation,
- gather,
- rivet,
- rophy,
- muff,
- segmentation,
- wrench,
- thawing,
- batting order,
- multiply,
- yap,
- compendium,
- encroaching,
- car,
- gnarl,
- unified,
- meaning,
- upheaval,
- ravel,
- deflect,
- travelling bag,
- stripe,
- wave,
- bear,
- confident,
- dole out,
- training,
- bankroll,
- enumerate,
- immobilise,
- adhesiveness,
- span,
- optical fusion,
- overlap,
- dress circle,
- strain,
- federal,
- sum total,
- arrive at,
- amour,
- express,
- unfreeze,
- reply,
- refuse,
- pull a fast one on,
- be,
- hostel,
- child,
- machinate,
- tightfistedness,
- chemical chain,
- rove,
- stick out,
- kindred,
- herd,
- monastic order,
- roast,
- psychiatrical,
- have,
- run,
- harmonize,
- ball up,
- recognition,
- constellation,
- brood,
- tot up,
- remember,
- man and wife,
- loudness,
- contact,
- head,
- most,
- electronegative,
- philander,
- preparedness,
- accommodative,
- swither,
- course of action,
- constrictive,
- squash,
- growing,
- commensurateness,
- seth,
- electric battery,
- administration,
- beetle off,
- expire,
- focalisation,
- user interface,
- tax write-off,
- gearing,
- human elbow,
- streak,
- pluck,
- tantalise,
- set out,
- stocktaking,
- free energy,
- assist,
- deepen,
- utter,
- concern,
- cake,
- disarrangement,
- rout,
- buy the farm,
- admission charge,
- accommodate,
- boil,
- whole caboodle,
- boxful,
- intrust,
- supporting players,
- inherent,
- opening move,
- connexion,
- collect,
- marrow,
- synthetic thinking,
- support,
- copulate,
- bail bond,
- equalizer,
- innovation,
- fussy,
- facultative,
- fabricate,
- hold fast,
- constricting,
- convinced,
- alleviatory,
- edict,
- stocky,
- disconnectedness,
- social status,
- menage,
- building block,
- shut away,
- call,
- banding,
- meshwork,
- kit up,
- forget me drug,
- panel,
- surgical process,
- residuum,
- pauperization,
- showing,
- shorten,
- seize,
- endeavour,
- disorganisation,
- canasta,
- compensate,
- rampart,
- compiling,
- kettle of fish,
- man,
- occasion,
- synchronicity,
- hi,
- crease,
- courting,
- energise,
- check,
- mental institution,
- abbreviate,
- paries,
- blood relation,
- flesh,
- solicitation,
- rail in,
- ensue,
- estimation,
- refrain,
- dubiousness,
- niggardliness,
- fortune,
- tin can,
- mental hospital,
- nonplus,
- vim,
- twain,
- sort,
- pealing,
- opinion poll,
- pocket billiards,
- melt down,
- stilt,
- forget,
- resound,
- butterfly,
- deliberateness,
- business enterprise,
- schematic,
- specialness,
- take out,
- shed light on,
- sea dog,
- speech rhythm,
- business sector,
- price reduction,
- percipient,
- case,
- meek,
- drum roll,
- dish,
- involvement,
- sistership,
- congregating,
- mitre,
- annulus,
- balmy,
- ground level,
- automobile,
- agglomerative,
- wandflower,
- cur,
- extension,
- tramp,
- initiation,
- sodding,
- break,
- shaver,
- confide,
- booking,
- stock-taking,
- knit stitch,
- grumbling,
- project,
- bringing close together,
- synchroneity,
- haschisch,
- stamp,
- fixed,
- two-base hit,
- reliance,
- illuminate,
- sort out,
- jampack,
- last,
- benignity,
- queer,
- steadfastly,
- put,
- inn,
- preoccupation,
- natural,
- united states constitution,
- emplacement,
- repress,
- elicit,
- lashings,
- backchat,
- slub,
- attentiveness,
- same,
- trammel,
- pied,
- entrance money,
- cook,
- denseness,
- concerted,
- picture,
- married couple,
- material body,
- caller,
- query,
- pulsation,
- underclothing,
- deductive reasoning,
- blooper,
- filing cabinet,
- file away,
- meter,
- knee joint,
- sign on,
- revenue,
- splicing,
- undertake,
- date,
- comparable,
- unmannerly,
- dixie,
- lug,
- akin,
- symmetry,
- get-up-and-go,
- box seat,
- endovenous,
- peace of mind,
- rails,
- mess up,
- simpleness,
- conjunctive,
- encipher,
- natural enclosure,
- care,
- put in,
- functioning,
- bust up,
- make-up,
- maw,
- surgical operation,
- predominate,
- armory,
- shuffling,
- whiteness,
- complete,
- nine,
- step-down,
- boner,
- bulwark,
- collecting,
- constitutional,
- mariner,
- entrust,
- residue,
- pureness,
- hefty,
- pass over,
- row,
- treble,
- unclouded,
- successiveness,
- mountain chain,
- swarm,
- alterative,
- defining,
- winder,
- scrag,
- writing,
- replication,
- positivist,
- altering,
- seaman,
- reciprocality,
- countersign,
- progress to,
- can,
- vanquish,
- carrefour,
- root,
- port,
- argue,
- equality,
- wave-particle duality,
- crossbreeding,
- erect,
- cannister,
- jitney,
- fructify,
- prep,
- cadence,
- inner circle,
- closed circuit,
- elective course,
- argumentation,
- alleviant,
- drop dead,
- validation,
- reparation,
- suffocate,
- appointment,
- devising,
- sinlessness,
- nose count,
- underskirt,
- piece of music,
- keep company,
- gain,
- ill-bred,
- jack-tar,
- specify,
- split,
- rip out,
- avail,
- legal community,
- knob,
- parliamentary law,
- tout ensemble,
- entwine,
- take in,
- wedding ceremony,
- tapis,
- path,
- critical point,
- intermission,
- confusedness,
- taproom,
- reach,
- stringency,
- us constitution,
- duette,
- aim,
- synchronisation,
- evoke,
- crystallise,
- fox,
- pocket,
- plug,
- gallus,
- scuff,
- taunt,
- rallying,
- wholly,
- voluminosity,
- promenade,
- adjacency,
- faithful,
- grad,
- ointment,
- muss,
- rubber,
- governance,
- satisfy,
- howdy,
- cockle,
- vigour,
- wicket,
- assembling,
- butter churn,
- heterogenous,
- strong,
- opposite,
- run into,
- reducing,
- hybridise,
- impound,
- human body,
- countersink,
- thread,
- conformation,
- thunderbolt,
- in tandem,
- ca-ca,
- bent,
- construct,
- light,
- treasure trove,
- son of a bitch,
- dispense,
- tolerate,
- discipline,
- military junta,
- curing,
- doubly,
- declaration,
- compartmentalisation,
- make off,
- suffer,
- primed,
- cartesian product,
- tantalize,
- inwardness,
- identicalness,
- dangling,
- cheeseparing,
- pitch,
- uncounted,
- deliberate,
- brook,
- modest,
- energy department,
- predictive,
- mantrap,
- dissolve,
- vindicated,
- authorise,
- natural selection,
- ontogeny,
- half-slip,
- watch chain,
- call back,
- require,
- vary,
- camp,
- family relationship,
- two-baser,
- throw together,
- amount of money,
- ease,
- upshot,
- spell,
- atomic number 50,
- bunk,
- act,
- clean-cut,
- skinny,
- presage,
- geometrical regularity,
- buccal,
- roll out,
- bollix up,
- hand brake,
- simmpleness,
- immingle,
- fumble,
- exhibit,
- butt against,
- fulminate,
- business deal,
- ratio,
- underage,
- udder,
- coalescency,
- mitigative,
- rationalization,
- wellness,
- target,
- creation,
- clutch,
- tamp down,
- kernel,
- illegitimate child,
- rank and file,
- chorus line,
- big money,
- bilk,
- plastic,
- alternate,
- militarisation,
- statement,
- pulley-block,
- greyback,
- brighten,
- preoccupancy,
- introduction,
- pee-pee,
- team up,
- converging,
- poise,
- plus,
- iteration,
- get over,
- purse,
- stock,
- operate,
- master,
- wagon train,
- dental amalgam,
- answer,
- courtship,
- florida key,
- packet,
- establish,
- scotch,
- henchman,
- oppose,
- emergence,
- morale,
- stop,
- clubhouse,
- back up,
- coltsfoot,
- jell,
- poll,
- put up,
- block up,
- distich,
- about,
- take shape,
- flux,
- trap,
- trustingness,
- bloomer,
- congress,
- complex body part,
- mingle-mangle,
- operative,
- degree,
- indistinguishability,
- infinite,
- eyeball,
- knockout,
- fond regard,
- excerpt,
- recounting,
- star sign,
- temperament,
- descent,
- evaporate,
- multifariousness,
- the likes of,
- choke coil,
- pile up,
- genial,
- wander,
- cellular inclusion,
- wind,
- net,
- coitus,
- consignment,
- bundle up,
- halter,
- firearm,
- interconnectedness,
- reciprocation,
- lode,
- bollix,
- bit,
- cocksucker,
- rebound,
- measure,
- axis of rotation,
- plain stitch,
- bait,
- dash,
- mesh,
- extragalactic nebula,
- chaw,
- identity element,
- choke up,
- signifier,
- portent,
- bodily structure,
- crabby,
- manifold paper,
- rafts,
- prevention,
- correspond,
- motherfucker,
- hayrick,
- decree,
- inclination,
- blow,
- taking over,
- piebald,
- push-down stack,
- planetary house,
- kin,
- prevarication,
- synaeresis,
- wads,
- affiliate,
- team spirit,
- perfect,
- blueprint,
- point of intersection,
- heat,
- unadulterated,
- play tricks,
- dally,
- kink,
- make merry,
- mould,
- bewilder,
- stuff,
- dress,
- choice,
- pivot man,
- sn,
- physical object,
- associate degree,
- opposer,
- nightspot,
- addle,
- turn over,
- traverse,
- good,
- compendious,
- basketball hoop,
- figure,
- go off,
- appurtenant,
- categorization,
- waver,
- core,
- equaliser,
- electric pig,
- card,
- band together,
- reserve,
- abscond,
- softening,
- whole works,
- provision,
- mellow out,
- interbreed,
- beetleweed,
- immobilize,
- connective,
- aesculapian,
- moot,
- crown of thorns,
- lobby group,
- knitting,
- tumult,
- snuff it,
- cloth,
- crystallize,
- formative,
- raft,
- see,
- minus,
- commix,
- louse up,
- software package,
- philosophers’ stone,
- sect,
- govern,
- predilection,
- pucker,
- hen-peck,
- business organization,
- pinch,
- laden,
- roll up,
- lade,
- conscription,
- automobile trunk,
- vulgar,
- congeal,
- scout group,
- sprain,
- crisscross,
- software program,
- megabucks,
- circuit board,
- tear out,
- bun,
- ill-tempered,
- rhythm method,
- pair off,
- congest,
- special interest group,
- admission price,
- honour,
- collage,
- choke off,
- enclosing,
- megascopic,
- center,
- controversy,
- electropositive,
- passkey,
- educe,
- approach,
- antepartum,
- work over,
- mother fucker,
- innumerous,
- readiness,
- forgivingness,
- cube,
- trade in,
- cohesiveness,
- resultant,
- freight,
- improver,
- roach,
- describe,
- synchronizing,
- lubber,
- corresponding,
- pose,
- unnumbered,
- adequate,
- give-up the ghost,
- dissonance,
- slapdash,
- bad-mannered,
- espouse,
- intermix,
- instal,
- interbreeding,
- level,
- stick,
- threefold,
- europe,
- rolling wave,
- bracing,
- top,
- ingredient,
- almost,
- residual,
- exclude,
- feed,
- social system,
- outsmart,
- curl,
- incline,
- stress,
- high society,
- twinned,
- double-decker,
- penury,
- seethe,
- pure,
- flummox,
- equilibrium,
- routine,
- origination,
- school of thought,
- pay off,
- occupy,
- hobo camp,
- soundbox,
- regalia,
- dust,
- special interest,
- bridal,
- tonality,
- byplay,
- interest group,
- various,
- eclectic method,
- enervation,
- frat,
- wrick,
- lading,
- heart,
- focalise,
- create,
- corset,
- stoppage,
- gap,
- fasciculus,
- intact,
- peacefulness,
- parameter,
- fold,
- smokestack,
- resume,
- push-down storage,
- mating,
- ignition lock,
- tree trunk,
- tautness,
- duad,
- pound,
- disputation,
- composing,
- interdependence,
- identity parade,
- pass away,
- salutation,
- motorcar,
- relieve oneself,
- induce,
- grizzle,
- unscathed,
- entirely,
- disorderliness,
- merged,
- look-alike,
- density,
- section,
- complicated,
- jazz group,
- sports meeting,
- special-interest group,
- stage set,
- cramp,
- cypher,
- multitude,
- gear up,
- laid,
- barter,
- border,
- sack,
- phone,
- kit and boodle,
- draw out,
- call for,
- prognosticative,
- brass,
- unify,
- gobs,
- analyze,
- chasteness,
- grouchy,
- pop off,
- weighing,
- ataraxis,
- condom,
- subtraction,
- reading,
- discount,
- jazz band,
- leaf node,
- half-blooded,
- mint,
- define,
- model,
- thickset,
- authorship,
- raise,
- motorcoach,
- holdfast,
- cause,
- wrap,
- peck at,
- agitation,
- raiment,
- crystalize,
- nosecount,
- 2,
- muffle,
- surround,
- watch guard,
- haystack,
- geological formation,
- cocksure,
- instalment,
- secretiveness,
- forge,
- location,
- traffic,
- war paint,
- coup,
- lawsuit,
- circumvent,
- arial mosaic,
- confidence,
- drivel,
- shit,
- discussion,
- accession,
- all the way,
- heartbeat,
- equalise,
- elucidate,
- alleviator,
- want,
- inventorying,
- discharge,
- nuptials,
- undulate,
- parallel,
- issue,
- content,
- pastime,
- foul-up,
- typography,
- draw near,
- arbitrarily,
- how-do-you-do,
- foil,
- readying,
- pulse,
- altogether,
- side of meat,
- abatement,
- oecumenism,
- immersion,
- flip-flop,
- baseball club,
- roam,
- excogitation,
- chemical bond,
- kin group,
- wee,
- small-arm,
- bang,
- tandem bicycle,
- absolved,
- appraise,
- flow,
- crossroad,
- clearly,
- staring,
- restraint,
- sash.
How to use «Combination» in context?
Combination is the use of two or more elements to produce a combined effect. The use of combination can be seen in many different fields, ranging from art to engineering. In art, a combination of colors can create an effect that is unique and memorable. In engineering, the combination of materials can create a product that is reliable and durable.
The use of combination can be seen in many different fields, ranging from art to engineering. In art, a combination of colors can create an effect that is unique and memorable. In engineering, the combination of materials can create a product that is reliable and durable.
Paraphrases for Combination:
Paraphrases are highlighted according to their relevancy:
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Equivalence
-
Noun, singular or mass
conjunction.
-
Noun, singular or mass
-
Forward Entailment
-
Proper noun, singular
coalition, coalitions.
-
Noun, singular or mass
accumulation, coalition.
-
Proper noun, singular
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Reverse Entailment
-
Proper noun, singular
blend.
-
Noun, singular or mass
amalgam, blend, incorporation.
-
Proper noun, singular
-
Independent
-
Proper noun, singular
association, combining, Associations, slips, holdings.
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Noun, singular or mass
addition, admixture, agglomeration, arrangement, association, balance, collaboration, compatibility, compilation, complement, compounding, concatenation, concentration, conciliation, configuration, conjugate, connection, context, convergence, coordination, correlation, coupling, fusion, interconnection, intersection, jumpsuit, match, matching, merger, pair, partnership, reconciliation, series, synthesis, totality, unification, variety, whole, Conflation, co-operation, mechanisms, gaskets.
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Proper noun, singular
-
Other Related
-
Proper noun, singular
combine, combined, combo, merge, mix.
-
Noun, singular or mass
articulation, associate, assortment, combine, combined, combining, combo, compound, concert, confluence, conjugation, handset, interaction, interplay, juxtaposition, link, merge, mix, pairing, range, sum, tandem, Cumulation, mixes, intermingling, cocktail.
-
Verb, past tense
combined.
-
Proper noun, singular
Hypernym for Combination:
-
n.
-
group
Colour Scheme, color scheme, combination in restraint of trade, amalgam, Haplotype, complexion.
-
group
Hyponym for Combination:
-
n.
-
act
operation, mathematical process, mathematical operation.
-
group
social unit, assemblage, alignment, sequence, collection, alliance, alinement, unit, coalition, accumulation, aggregation.
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act
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Defenition of the word combination
- A collection of things that have been combined.
- the act of arranging elements into specified groups without regard to order
- a collection of things that have been combined; an assemblage of separate parts or qualities
- an alliance of people or corporations or countries for a special purpose (formerly to achieve some antisocial end but now for general political or economic purposes)
- a group of people (often temporary) having a common purpose; «they were a winning combination»
- a sequence of numbers or letters that opens a combination lock; «he forgot the combination to the safe»
- an occurrence that results in things being combined
- the act of combining things
- the act of combining things to form a new whole
- a coordinated sequence of chess moves
- a group of people (often temporary) having a common purpose
- a sequence of numbers or letters that opens a combination lock
Synonyms for the word combination
-
- amalgamation
- arrangement
- blend
- code
- combine
- combining
- compounding
- grouping
- mishmash
- mixture
- number sequence
- order
- pattern
- permutation
- recipe
Similar words in the combination
-
- combination
- combination’s
- combinations
Hyponyms for the word combination
-
- admixture
- affixation
- amalgam
- attachment
- blend
- blending
- color scheme
- colour scheme
- combination in restraint of trade
- commixture
- complexion
- confusion
- conjugation
- consolidation
- fusion
- haplotype
- integration
- intermixture
- interspersal
- interspersion
- jointure
- mix
- mixing
- mixture
- temperance
- unification
- union
- uniting
Hypernyms for the word combination
-
- accumulation
- aggregation
- alignment
- alinement
- alliance
- assemblage
- change of integrity
- coalition
- collection
- mathematical operation
- mathematical process
- operation
- sequence
- social unit
- union
- unit
See other words
-
- What is collie
- The definition of collection
- The interpretation of the word collect
- What is meant by colleague
- The lexical meaning collapse
- The dictionary meaning of the word cold
- The grammatical meaning of the word col
- Meaning of the word cokehead
- Literal and figurative meaning of the word coin
- The origin of the word come on
- Synonym for the word comedy
- Antonyms for the word comfort
- Homonyms for the word comma
- Hyponyms for the word commandant
- Holonyms for the word commentary
- Hypernyms for the word commenter
- Proverbs and sayings for the word commercial
- Translation of the word in other languages commission
combination | compound | Synonyms | Compound is a synonym of combination.As nouns the difference between combination and compoundis that combination is the act of combining, the state of being combined or the result of combining while compound is an enclosure within which workers, prisoners, or soldiers are confined. As an adjective compound iscomposed of elements; not simple. As a verb compound isto form (a resulting mixture) by combining different elements, ingredients, or parts.
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Princeton’s WordNetRate this definition:4.2 / 6 votes
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combinationnoun
a collection of things that have been combined; an assemblage of separate parts or qualities
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combinationnoun
a coordinated sequence of chess moves
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combinationnoun
a sequence of numbers or letters that opens a combination lock
«he forgot the combination to the safe»
-
combinationnoun
a group of people (often temporary) having a common purpose
«they were a winning combination»
-
combinationnoun
an alliance of people or corporations or countries for a special purpose (formerly to achieve some antisocial end but now for general political or economic purposes)
-
combinationnoun
the act of arranging elements into specified groups without regard to order
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combination, combining, compoundingnoun
the act of combining things to form a new whole
WiktionaryRate this definition:0.0 / 0 votes
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combinationnoun
The act of combining, the state of being combined or the result of combining.
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combinationnoun
A sequence of numbers or letters used to open a combination lock.
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combinationnoun
One or more elements selected from a set without regard to the order of selection.
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combinationnoun
An association or alliance of people for some common purpose.
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combinationnoun
A combination shot; a billiard; a shot where the cue ball hits a ball that strikes another ball on the table.
Samuel Johnson’s DictionaryRate this definition:0.0 / 0 votes
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Combinationnoun
Etymology: from combine.
1. Union for some certain purpose; association; league. A combination is of private persons, a confederacy of states or sovereigns.
This cunning cardinal
The articles o’ th’ combination drew,
As himself pleas’d.
William Shakespeare, Henry VIII.2. It is now generally used in an ill sense; but was formerly indifferent.
They aim to subdue all to their own will and power, under the disguises of holy combinations.
Charles I .3. Union of bodies, or qualities; commixture; conjunction.
These natures, from the moment of their first combination, have been and are for ever inseparable.
Richard Hooker, b. v. s. 52.Resolution of compound bodies by fire, does not so much enrich mankind as it divides the bodies; as upon the score of its making new compounds by new combinations.
Boyle.Ingratitude is always in combination with pride and hard-heartedness.
Robert South, Sermons.4. Copulation of ideas in the mind.
They never suffer any ideas to be joined in their understandings, in any other or stronger combination than what their own nature and correspondence give them.
John Locke.5.Combination is used in mathematicks, to denote the variation or alteration of any number of quantities, letters, sounds, or the like, in all the different manners possible. thus the number of possible changes or combinations of the twenty-four letters of the alphabet, taken first two by two, then three by three, &c. amount to 1,391,724,288,887,252,999,425,128,493,402,200. Ephraim Chambers
Webster DictionaryRate this definition:1.0 / 1 vote
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Combinationnoun
the act or process of combining or uniting persons and things
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Combinationnoun
the result of combining or uniting; union of persons or things; esp. a union or alliance of persons or states to effect some purpose; — usually in a bad sense
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Combinationnoun
the act or process of uniting by chemical affinity, by which substances unite with each other in definite proportions by weight to form distinct compounds
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Combinationnoun
the different arrangements of a number of objects, as letters, into groups
FreebaseRate this definition:0.0 / 0 votes
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Combination
In mathematics a combination is a way of selecting several things out of a larger group, where order does not matter. In smaller cases it is possible to count the number of combinations. For example given three fruit, say an apple, orange and pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange; or a pear and an orange. More formally a k-combination of a set S is a subset of k distinct elements of S. If the set has n elements the number of k-combinations is equal to the binomial coefficient
which can be written using factorials as whenever, and which is zero when . The set of all k-combinations of a set S is sometimes denoted by .
Combinations can refer to the combination of n things taken k at a time without or with repetitions. In the above example repetitions were not allowed. If however it was possible to have two of any one kind of fruit there would be 3 more combinations: one with two apples, one with two oranges, and one with two pears.
With large sets, it becomes necessary to use more sophisticated mathematics to find the number of combinations. For example, a poker hand can be described as a 5-combination of cards from a 52 card deck. The 5 cards of the hand are all distinct, and the order of cards in the hand does not matter. There are 2,598,960 such combinations, and the chance of drawing any one hand at random is 1 / 2,598,960.
Editors ContributionRate this definition:0.0 / 0 votes
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combination
To combine into a whole.
There are a perfect combination of personalities and it is such joyful news to know they are getting married.
Submitted by MaryC on March 17, 2020
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Rank popularity for the word ‘combination’ in Spoken Corpus Frequency: #2275
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Rank popularity for the word ‘combination’ in Written Corpus Frequency: #4319
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Rank popularity for the word ‘combination’ in Nouns Frequency: #861
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Numerology
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Chaldean Numerology
The numerical value of combination in Chaldean Numerology is: 4
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Pythagorean Numerology
The numerical value of combination in Pythagorean Numerology is: 7
Examples of combination in a Sentence
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Researcher Ciara Aucoin:
That combination of poverty, youth bulge, and unemployment leads to this powderkeg…in terms of drugs and violence.
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Felipe Del Cid:
The combination of emergencies makes the emergency quadruple, the recovery could take years.
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Geoff Garin:
The difference in statewide races is that the voters know the candidates better and so a combination of good candidates [ running against ] bad candidates are better able to transcend national tides.
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Leuven PhD student Elien Rosier:
We sampled the remains during six months of decomposition and we could identify 452 different compounds, from all those compounds we searched for human specific compounds using principal component analysis and we could identify a combination of eight compounds that were specific for human and pig remains.
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John Harbaugh:
The things you see in Mike is a great combination of intelligence, common sense and people skills, there’s a really unique balance of confidence and humility.
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Translations for combination
From our Multilingual Translation Dictionary
- مزيجArabic
- съединение, комбинация, обединениеBulgarian
- combinacióCatalan, Valencian
- kombinaceCzech
- Kombination, VereinigungGerman
- τρίκυκλοGreek
- combinaciónSpanish
- sobitama, järjestus, kombinatsioon, kooslus, kombineerimaEstonian
- ترکیبPersian
- ratsastus, kombinaatio, yhdistäminen, yhdistely, yhdistelmä, yhdistysFinnish
- combinaisonFrench
- combinaciónGalician
- संयोगHindi
- combinazioneItalian
- 統合, 結合, 合併Japanese
- combinatioLatin
- kombinasjonNorwegian
- vereniging, verbinding, combinatieDutch
- kombinasjonNorwegian Nynorsk
- combinaçãoPortuguese
- combinație, combinareRomanian
- сочетание, объединение, соединение, комбинацияRussian
- kombinering, kombinationSwedish
- birlik, dernek, birleşim, cemiyet, kombinasyon, birleştirmeTurkish
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Are we missing a good definition for combination? Don’t keep it to yourself…
This article is about the mathematics of selecting part of a collection. For other uses, see Combination (disambiguation).
In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter (unlike permutations). For example, given three fruits, say an apple, an orange and a pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange; or a pear and an orange. More formally, a k—combination of a set S is a subset of k distinct elements of S. So, two combinations are identical if and only if each combination has the same members. (The arrangement of the members in each set does not matter.) If the set has n elements, the number of k-combinations, denoted by or , is equal to the binomial coefficient
which can be written using factorials as whenever , and which is zero when . This formula can be derived from the fact that each k-combination of a set S of n members has permutations so or .[1] The set of all k-combinations of a set S is often denoted by .
A combination is a combination of n things taken k at a time without repetition. To refer to combinations in which repetition is allowed, the terms k-combination with repetition, k-multiset,[2] or k-selection,[3] are often used.[4] If, in the above example, it were possible to have two of any one kind of fruit there would be 3 more 2-selections: one with two apples, one with two oranges, and one with two pears.
Although the set of three fruits was small enough to write a complete list of combinations, this becomes impractical as the size of the set increases. For example, a poker hand can be described as a 5-combination (k = 5) of cards from a 52 card deck (n = 52). The 5 cards of the hand are all distinct, and the order of cards in the hand does not matter. There are 2,598,960 such combinations, and the chance of drawing any one hand at random is 1 / 2,598,960.
Number of k-combinations[edit]
3-element subsets of a 5-element set
The number of k-combinations from a given set S of n elements is often denoted in elementary combinatorics texts by , or by a variation such as , , , or even (the last form is standard in French, Romanian, Russian, Chinese[5][6] and Polish texts[citation needed]). The same number however occurs in many other mathematical contexts, where it is denoted by (often read as «n choose k«); notably it occurs as a coefficient in the binomial formula, hence its name binomial coefficient. One can define for all natural numbers k at once by the relation
from which it is clear that
and further,
for k > n.
To see that these coefficients count k-combinations from S, one can first consider a collection of n distinct variables Xs labeled by the elements s of S, and expand the product over all elements of S:
it has 2n distinct terms corresponding to all the subsets of S, each subset giving the product of the corresponding variables Xs. Now setting all of the Xs equal to the unlabeled variable X, so that the product becomes (1 + X)n, the term for each k-combination from S becomes Xk, so that the coefficient of that power in the result equals the number of such k-combinations.
Binomial coefficients can be computed explicitly in various ways. To get all of them for the expansions up to (1 + X)n, one can use (in addition to the basic cases already given) the recursion relation
for 0 < k < n, which follows from (1 + X)n = (1 + X)n − 1(1 + X); this leads to the construction of Pascal’s triangle.
For determining an individual binomial coefficient, it is more practical to use the formula
The numerator gives the number of k-permutations of n, i.e., of sequences of k distinct elements of S, while the denominator gives the number of such k-permutations that give the same k-combination when the order is ignored.
When k exceeds n/2, the above formula contains factors common to the numerator and the denominator, and canceling them out gives the relation
for 0 ≤ k ≤ n. This expresses a symmetry that is evident from the binomial formula, and can also be understood in terms of k-combinations by taking the complement of such a combination, which is an (n − k)-combination.
Finally there is a formula which exhibits this symmetry directly, and has the merit of being easy to remember:
where n! denotes the factorial of n. It is obtained from the previous formula by multiplying denominator and numerator by (n − k)!, so it is certainly computationally less efficient than that formula.
The last formula can be understood directly, by considering the n! permutations of all the elements of S. Each such permutation gives a k-combination by selecting its first k elements. There are many duplicate selections: any combined permutation of the first k elements among each other, and of the final (n − k) elements among each other produces the same combination; this explains the division in the formula.
From the above formulas follow relations between adjacent numbers in Pascal’s triangle in all three directions:
Together with the basic cases , these allow successive computation of respectively all numbers of combinations from the same set (a row in Pascal’s triangle), of k-combinations of sets of growing sizes, and of combinations with a complement of fixed size n − k.
Example of counting combinations[edit]
As a specific example, one can compute the number of five-card hands possible from a standard fifty-two card deck as:[7]
Alternatively one may use the formula in terms of factorials and cancel the factors in the numerator against parts of the factors in the denominator, after which only multiplication of the remaining factors is required:
Another alternative computation, equivalent to the first, is based on writing
which gives
When evaluated in the following order, 52 ÷ 1 × 51 ÷ 2 × 50 ÷ 3 × 49 ÷ 4 × 48 ÷ 5, this can be computed using only integer arithmetic. The reason is that when each division occurs, the intermediate result that is produced is itself a binomial coefficient, so no remainders ever occur.
Using the symmetric formula in terms of factorials without performing simplifications gives a rather extensive calculation:
Enumerating k-combinations[edit]
One can enumerate all k-combinations of a given set S of n elements in some fixed order, which establishes a bijection from an interval of integers with the set of those k-combinations. Assuming S is itself ordered, for instance S = { 1, 2, …, n }, there are two natural possibilities for ordering its k-combinations: by comparing their smallest elements first (as in the illustrations above) or by comparing their largest elements first. The latter option has the advantage that adding a new largest element to S will not change the initial part of the enumeration, but just add the new k-combinations of the larger set after the previous ones. Repeating this process, the enumeration can be extended indefinitely with k-combinations of ever larger sets. If moreover the intervals of the integers are taken to start at 0, then the k-combination at a given place i in the enumeration can be computed easily from i, and the bijection so obtained is known as the combinatorial number system. It is also known as «rank»/»ranking» and «unranking» in computational mathematics.[8][9]
There are many ways to enumerate k combinations. One way is to visit all the binary numbers less than 2n. Choose those numbers having k nonzero bits, although this is very inefficient even for small n (e.g. n = 20 would require visiting about one million numbers while the maximum number of allowed k combinations is about 186 thousand for k = 10). The positions of these 1 bits in such a number is a specific k-combination of the set { 1, …, n }.[10] Another simple, faster way is to track k index numbers of the elements selected, starting with {0 .. k−1} (zero-based) or {1 .. k} (one-based) as the first allowed k-combination and then repeatedly moving to the next allowed k-combination by incrementing the last index number if it is lower than n-1 (zero-based) or n (one-based) or the last index number x that is less than the index number following it minus one if such an index exists and resetting the index numbers after x to {x+1, x+2, …}.
Number of combinations with repetition[edit]
A k—combination with repetitions, or k—multicombination, or multisubset of size k from a set S of size n is given by a set of k not necessarily distinct elements of S, where order is not taken into account: two sequences define the same multiset if one can be obtained from the other by permuting the terms. In other words, it is a sample of k elements from a set of n elements allowing for duplicates (i.e., with replacement) but disregarding different orderings (e.g. {2,1,2} = {1,2,2}). Associate an index to each element of S and think of the elements of S as types of objects, then we can let denote the number of elements of type i in a multisubset. The number of multisubsets of size k is then the number of nonnegative integer (so allowing zero) solutions of the Diophantine equation:[11]
If S has n elements, the number of such k-multisubsets is denoted by
a notation that is analogous to the binomial coefficient which counts k-subsets. This expression, n multichoose k,[12] can also be given in terms of binomial coefficients:
This relationship can be easily proved using a representation known as stars and bars.[13]
Bijection between 3-subsets of a 7-set (left) and 3-multisets with elements from a 5-set (right).
This illustrates that .
As with binomial coefficients, there are several relationships between these multichoose expressions. For example, for ,
This identity follows from interchanging the stars and bars in the above representation.[15]
Example of counting multisubsets[edit]
For example, if you have four types of donuts (n = 4) on a menu to choose from and you want three donuts (k = 3), the number of ways to choose the donuts with repetition can be calculated as
This result can be verified by listing all the 3-multisubsets of the set S = {1,2,3,4}. This is displayed in the following table.[16] The second column lists the donuts you actually chose, the third column shows the nonnegative integer solutions of the equation and the last column gives the stars and bars representation of the solutions.[17]
No. | 3-multiset | Eq. solution | Stars and bars |
---|---|---|---|
1 | {1,1,1} | [3,0,0,0] | |
2 | {1,1,2} | [2,1,0,0] | |
3 | {1,1,3} | [2,0,1,0] | |
4 | {1,1,4} | [2,0,0,1] | |
5 | {1,2,2} | [1,2,0,0] | |
6 | {1,2,3} | [1,1,1,0] | |
7 | {1,2,4} | [1,1,0,1] | |
8 | {1,3,3} | [1,0,2,0] | |
9 | {1,3,4} | [1,0,1,1] | |
10 | {1,4,4} | [1,0,0,2] | |
11 | {2,2,2} | [0,3,0,0] | |
12 | {2,2,3} | [0,2,1,0] | |
13 | {2,2,4} | [0,2,0,1] | |
14 | {2,3,3} | [0,1,2,0] | |
15 | {2,3,4} | [0,1,1,1] | |
16 | {2,4,4} | [0,1,0,2] | |
17 | {3,3,3} | [0,0,3,0] | |
18 | {3,3,4} | [0,0,2,1] | |
19 | {3,4,4} | [0,0,1,2] | |
20 | {4,4,4} | [0,0,0,3] |
Number of k-combinations for all k[edit]
The number of k-combinations for all k is the number of subsets of a set of n elements. There are several ways to see that this number is 2n. In terms of combinations, , which is the sum of the nth row (counting from 0) of the binomial coefficients in Pascal’s triangle. These combinations (subsets) are enumerated by the 1 digits of the set of base 2 numbers counting from 0 to 2n − 1, where each digit position is an item from the set of n.
Given 3 cards numbered 1 to 3, there are 8 distinct combinations (subsets), including the empty set:
Representing these subsets (in the same order) as base 2 numerals:
- 0 – 000
- 1 – 001
- 2 – 010
- 3 – 011
- 4 – 100
- 5 – 101
- 6 – 110
- 7 – 111
Probability: sampling a random combination[edit]
There are various algorithms to pick out a random combination from a given set or list. Rejection sampling is extremely slow for large sample sizes. One way to select a k-combination efficiently from a population of size n is to iterate across each element of the population, and at each step pick that element with a dynamically changing probability of (see Reservoir sampling). Another is to pick a random non-negative integer less than and convert it into a combination using the combinatorial number system.
Number of ways to put objects into bins[edit]
A combination can also be thought of as a selection of two sets of items: those that go into the chosen bin and those that go into the unchosen bin. This can be generalized to any number of bins with the constraint that every item must go to exactly one bin. The number of ways to put objects into bins is given by the multinomial coefficient
where n is the number of items, m is the number of bins, and is the number of items that go into bin i.
One way to see why this equation holds is to first number the objects arbitrarily from 1 to n and put the objects with numbers into the first bin in order, the objects with numbers into the second bin in order, and so on. There are distinct numberings, but many of them are equivalent, because only the set of items in a bin matters, not their order in it. Every combined permutation of each bins’ contents produces an equivalent way of putting items into bins. As a result, every equivalence class consists of distinct numberings, and the number of equivalence classes is .
The binomial coefficient is the special case where k items go into the chosen bin and the remaining items go into the unchosen bin:
See also[edit]
- Binomial coefficient
- Combinatorics
- Block design
- Kneser graph
- List of permutation topics
- Multiset
- Pascal’s triangle
- Permutation
- Probability
- Subset
Notes[edit]
- ^ Reichl, Linda E. (2016). «2.2. Counting Microscopic States». A Modern Course in Statistical Physics. WILEY-VCH. p. 30. ISBN 978-3-527-69048-0.
- ^ Mazur 2010, p. 10
- ^ Ryser 1963, p. 7 also referred to as an unordered selection.
- ^ When the term combination is used to refer to either situation (as in (Brualdi 2010)) care must be taken to clarify whether sets or multisets are being discussed.
- ^ High School Textbook for full-time student (Required) Mathematics Book II B (in Chinese) (2nd ed.). China: People’s Education Press. June 2006. pp. 107–116. ISBN 978-7-107-19616-4.
- ^ 人教版高中数学选修2-3 (Mathematics textbook, volume 2-3, for senior high school, People’s Education Press). People’s Education Press. p. 21.
- ^ Mazur 2010, p. 21
- ^ Lucia Moura. «Generating Elementary Combinatorial Objects» (PDF). Site.uottawa.ca. Archived (PDF) from the original on 9 October 2022. Retrieved 10 April 2017.
- ^ «SAGE : Subsets» (PDF). Sagemath.org. Retrieved 10 April 2017.
- ^ «Combinations — Rosetta Code». 23 October 2022.[user-generated source?]
- ^ Brualdi 2010, p. 52
- ^ Benjamin & Quinn 2003, p. 70
- ^ In the article Stars and bars (combinatorics) the roles of n and k are reversed.
- ^ Benjamin & Quinn 2003, pp. 71 –72
- ^ Benjamin & Quinn 2003, p. 72 (identity 145)
- ^ Benjamin & Quinn 2003, p. 71
- ^ Mazur 2010, p. 10 where the stars and bars are written as binary numbers, with stars = 0 and bars = 1.
References[edit]
- Benjamin, Arthur T.; Quinn, Jennifer J. (2003), Proofs that Really Count: The Art of Combinatorial Proof, The Dolciani Mathematical Expositions 27, The Mathematical Association of America, ISBN 978-0-88385-333-7
- Brualdi, Richard A. (2010), Introductory Combinatorics (5th ed.), Pearson Prentice Hall, ISBN 978-0-13-602040-0
- Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, INC, 1999.
- Mazur, David R. (2010), Combinatorics: A Guided Tour, Mathematical Association of America, ISBN 978-0-88385-762-5
- Ryser, Herbert John (1963), Combinatorial Mathematics, The Carus Mathematical Monographs 14, Mathematical Association of America
External links[edit]
- Topcoder tutorial on combinatorics
- C code to generate all combinations of n elements chosen as k
- Many Common types of permutation and combination math problems, with detailed solutions
- The Unknown Formula For combinations when choices can be repeated and order does not matter
- Combinations with repetitions (by: Akshatha AG and Smitha B)[permanent dead link]
- The dice roll with a given sum problem An application of the combinations with repetition to rolling multiple dice
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