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Combination    音标拼音: [k,ɑmbən'eʃən]
n. 组合图
n. 组合,合并,联合

组合图组合,合并,联合

combination
合并; 组合

combination
组合

combination
n 1: a collection of things that have been combined; an
assemblage of separate parts or qualities
2: a coordinated sequence of chess moves
3: a sequence of numbers or letters that opens a combination
lock; "he forgot the combination to the safe"
4: a group of people (often temporary) having a common purpose;
"they were a winning combination"
5: 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)
6: the act of arranging elements into specified groups without
regard to order
7: the act of combining things to form a new whole [synonym:
{combination}, {combining}, {compounding}]

Combination \Com`bi*na"tion\, n. [LL. combinatio. See
{Combine}.]
1. The act or process of combining or uniting persons and
things.
[1913 Webster]

Making new compounds by new combinations. --Boyle.
[1913 Webster]

A solemn combination shall be made
Of our dear souls. --Shak.
[1913 Webster]

2. 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.
[1913 Webster]

A combination of the most powerful men in Rome who
had conspired my ruin. --Melmoth.
[1913 Webster]

3. (Chem.) 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.
[1913 Webster]

4. pl. (Math.) The different arrangements of a number of
objects, as letters, into groups.
[1913 Webster]

Note: In combinations no regard is paid to the order in which
the objects are arranged in each group, while in
variations and permutations this order is respected.
--Brande & C.
[1913 Webster]

{Combination car}, a railroad car containing two or more
compartments used for different purposes. [U. S.]

{Combination lock}, a lock in which the mechanism is
controlled by means of a movable dial (sometimes by
several dials or rings) inscribed with letters or other
characters. The bolt of the lock can not be operated until
after the dial has been so turned as to combine the
characters in a certain order or succession.

{Combination room}, in the University of Cambridge, Eng., a
room into which the fellows withdraw after dinner, for
wine, dessert, and conversation.

{Combination by volume} (Chem.), the act, process, or ratio
by which gaseous elements and compounds unite in definite
proportions by volume to form distinct compounds.

{Combination by weight} (Chem.), the act, process, or ratio,
in which substances unite in proportions by weight,
relatively fixed and exact, to form distinct compounds.
See {Law of definite proportions}, under {Definite}.

Syn: Cabal; alliance; association; league; union;
confederacy; coalition; conspiracy. See {Cabal}.
[1913 Webster]

284 Moby Thesaurus words for "combination":
Bund, Rochdale cooperative, accompaniment, accord, accordance,
addition, adjunct, admixture, affairs, affiliation, affinity,
agglomeration, agglutination, aggregate, aggregation, agreement,
alignment, alliance, alloy, alloyage, amalgam, amalgamation,
approximation, array, articulation, assemblage, assembly,
association, axis, band, blend, blending, bloc, body, bond,
bracketing, brew, building, buildup, cabal, cahoots, call-up,
canvass, cartel, census, circle, clique, closeness, clustering,
co-working, coaction, coadunation, coalescence, coalition,
coincidence, collaboration, colleagueship, collection,
collectivity, college, collegialism, collegiality, colligation,
collocation, colloid, collusion, combine, combined effort, combo,
comminglement, commingling, commixture, common market,
communication, comparison, composite, composition, compound,
comradeship, concatenation, concert, concerted action, concoction,
concomitance, concordance, concourse, concurrence, confection,
confederacy, confederation, confluence, conflux, confraternity,
congeries, conglomerate, conglomeration, congregation, conjugation,
conjunction, connectedness, connection, consilience, consolidation,
consortium, conspiracy, constitution, construction,
consumer cooperative, contiguity, contrariety, convergence,
cooperation, cooperative, cooperative society, copartnership,
copartnery, copulation, corps, corralling, correspondence, coterie,
council, coupling, credit union, customs union, data-gathering,
dealings, decoction, decoctum, deduction, disjunction, eclecticism,
economic community, embodiment, emulsion, ensemble, fabrication,
faction, fashioning, federation, fellowship, filiation, formation,
fraternalism, fraternity, fraternization, free trade area,
freemasonry, fusion, gang, gathering, getup, group, grouping,
homology, hookup, identification, identity, immixture, inclusion,
incorporation, individuality, indivisibility, ingathering,
intactness, integrality, integration, integrity,
intercommunication, intercourse, interfusion, interlarding,
interlardment, interlinking, interminglement, intermingling,
intermixture, intimacy, inventory, inviolability, irreducibility,
joinder, joining, jointure, junction, juxtaposition, knotting,
league, liaison, link, linkage, linking, machine, magma, make,
makeup, marriage, meeting, melding, mergence, merger, merging,
mingling, mix, mixing, mixture, mob, mobilization, mosaic, muster,
mutual attraction, nearness, oneness, organic unity, organization,
pairing, parasitism, particularity, partnership, party, paste,
patchwork, piecing together, pluralism, political machine, pool,
propinquity, proximity, purity, putting together, rapport,
relatedness, relation, relations, relationship, ring, rodeo,
roundup, saprophytism, selfsameness, set, setup, shaping,
similarity, simplicity, simultaneity, singleness, singularity,
society, sodality, solidarity, solidification, solidity, solution,
sorority, splice, structure, structuring, survey, suspension,
symbiosis, sympathy, synchronism, syncretism, syndicate,
syndication, syneresis, synergy, synthesis, tie, tie-in, tie-up,
togetherness, trust, undividedness, unification, uniformity, union,
uniqueness, united action, unity, univocity, wholeness, yoking

1. A {set} containing a certain number of
objects selected from another set.

The number of combinations of r objects chosen from a set of n
is

n C r = n! / ((n-r)! r!)

where "n C r" is normally with n and r as subscripts or as n
above r in parentheses.

See also {permutation}.

2. In the theory of {combinators}, a combination
denotes an expression in which {function application} is the
only operation.

(1995-04-10)

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  • Combination - Wikipedia
    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
  • Combinations and Permutations - Math is Fun
    When the order doesn't matter, it is a Combination When the order does matter it is a Permutation
  • Combinations Calculator (nCr)
    The Combinations Calculator will find the number of possible combinations that can be obtained by taking a sample of items from a larger set Basically, it shows how many different possible subsets can be made from the larger set For this calculator, the order of the items chosen in the subset does not matter
  • Combinations - Definition, Formula, Examples, FAQs - Cuemath
    Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements The number of combinations of n different things taken r at a time, denoted by nCr Understand the concept of combination using examples
  • Intro to combinations - Khan Academy
    Learn the difference between permutations and combinations, using the example of seating six people in three chairs Permutations count the different arrangements of people in specific chairs, while combinations count the different groups of people, regardless of order or chair
  • Combinations - Example and Practice Problems - Neurochispas
    Here, we will look at a brief summary of combinations along with their formula and the terminology used In addition, we will see examples with answers to learn about the application of the combination formula
  • Definition of Combination in Math - BYJUS
    In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter Suppose we have a set of three numbers P, Q and R Then in how many ways we can select two numbers from each set, is defined by combination
  • Combination - Math. net
    In mathematics, a combination refers to a selection of objects from a collection in which the order of selection doesn't matter Think of ordering a pizza
  • Combinations - GeeksforGeeks
    Combination refers to the mixture of n things taken k at a time without repetition Example: For set S = {a, b, c}, the possible combinations of choosing 2 elements are, {a, b}, {a, c}, {b, c} If we choose 3 items, then there is only one combination {a, b, c} which is we pick all three Some other examples of Combination in Real-Life are:
  • Combinations | Brilliant Math Science Wiki
    A combination is a way of choosing elements from a set in which order does not matter In general, the number of ways to pick \( k \) unordered elements from an \( n \) element set is \( \frac{n!}{k!(n-k)!} \) This is a binomial coefficient, denoted \( n \choose k \)





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