the act of combining or the state of being combined.
a number of things combined: a combination of ideas.
something formed by combining: A chord is a combination of notes.
an alliance of persons or parties: a combination in restraint of trade.
the set or series of numbers or letters used in setting the mechanism of a combination lock.
the parts of the mechanism operated by this.
Often, combinations. a suit of underwear in one piece.
the arrangement of elements into various groups without regard to their order in the group.
a group thus formed. Compare permutation ( def 1 ).

1350–1400; Middle English combinacyoun (< Middle French) < Late Latin combīnātiōn- (stem of combīnātiō), equivalent to combīnāt(us) combined (see combine, -ate1) + -iōn- -ion

combinational, adjective
intercombination, noun
noncombination, noun
precombination, noun
supercombination, noun
uncombinational, adjective

1. association, conjunction, union, coalescence, blending. 2. mixture, amalgamation, amalgam. 4. association, federation, league, coalition, cartel, combine, monopoly, bloc, cabal, conspiracy. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
combination (ˌkɒmbɪˈneɪʃən)
1.  the act of combining or state of being combined
2.  a union of separate parts, qualities, etc
3.  an alliance of people or parties; group having a common purpose
4.  a.  the set of numbers that opens a combination lock
 b.  the mechanism of this type of lock
5.  (Brit) a motorcycle with a sidecar attached
6.  maths
 a.  an arrangement of the numbers, terms, etc, of a set into specified groups without regard to order in the group: the combinations of a, b, and c, taken two at a time, are ab, bc, ac
 b.  Compare permutation a group formed in this way. The number of combinations of n objects taken r at a time is n!/[(n -- r)!r!]. Symbol: nCr
7.  the chemical reaction of two or more compounds, usually to form one other compound
8.  chess a tactical manoeuvre involving a sequence of moves and more than one piece

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

1530s, from O.Fr. combination (14c., Mod.Fr. combinaison), from L.L. combinationem "a joining two by two," from combinare (see combine).
Online Etymology Dictionary, © 2010 Douglas Harper
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Computing Dictionary

combination definition

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.
The Free On-line Dictionary of Computing, © Denis Howe 2010
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Example sentences
But at this point, it is impossible to be certain of the exact effects of this
  combination of drugs on his behavior.
The combination of aptness and familiarity means that clichés are constantly
  occurring to a writer.
The index is a combination of three sub-indices covering wealth, health and
Our mask and snorkel combination makes exploring the underwater world easy for
  practiced divers or beginners.
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