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Combination    音標拼音: [k,ɑmbən'eʃən]
n. 組合圖
n. 組合,合并,聯合

組合圖組合,合併,聯合

combination
合併; 組合

combination
組合

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
    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:
  • Combinations and Permutations - Math is Fun
    In English we use the word combination loosely, without thinking if the order of things is important In other words:
  • Combinations Calculator (nCr)
    Find the number of ways of choosing r unordered outcomes from n possibilities as nCr (or nCk) Combinations calculator or binomial coefficient calcator and combinations formula Free online combinations calculator
  • Combinations Formula with Examples - GeeksforGeeks
    Combinations are way of selecting items from a collection of items Different groups that can be formed by choosing r things from a given set of n different things, ignoring their order of arrangement, are called combinations of n things taken r at a time The number of all such combinations is calculated by the combinations formula: nCr or C (n, r) Example: All the combinations of four
  • 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
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    Examples of solving Combination Problems with videos and solutions, Formula to find the number of combinations of n things taken r at a time, What is the Combination Formula, How to use the Combination Formula to solve word problems and counting problems, How to solve combination problems that involve selecting groups based on conditional criteria, How to solve word problems involving
  • COMBINATION Definition Meaning - Merriam-Webster
    The meaning of COMBINATION is a result or product of combining; especially : an alliance of individuals, corporations, or states united to achieve a social, political, or economic end How to use combination in a sentence
  • Definition of Combination in Math - BYJUS
    The combination is a type of permutation where the order of the selection is not considered Hence, the count of permutation is always more than the number of the combination
  • Combination - Math. net
    Combination 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 If the selection of toppings are sausage, pepperoni, mushrooms, onions, and bacon, and you want sausage, pepperoni, and mushrooms, it doesn't matter whether you pick mushrooms, pepperoni, or sausage first As long as you get all
  • 7. 3: Combinations - Mathematics LibreTexts
    People in Mathematics: Early Eastern Mathematicians Figure 7 3 1: Combinations help us count things like the number of possible card hands, when the order in which the cards were drawn doesn’t matter (credit: “IMG_3177” by Zanaca Flickr, CC BY 2 0)





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