# Combinations

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1. AÂ setÂ containing a certain number of objects selected from another set.The number of combinations of r objects chosen from a set of n isn 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 alsoÂ permutation.2. In the theory ofÂ combinators, a combination denotes an expression in whichÂ function applicationÂ is the only operation.(1995-04-10)

InÂ combinatorial mathematics, a combination is an un-ordered collection of unique elements. (An ordered collection is called aÂ permutation.) given S, theÂ setÂ of all possible unique elements, a combination is aÂ subsetÂ of the elements of S. the order of the elements in a combination is not important (two lists with the same elements in different orders are considered to be the same combination). Also, the elements cannot be repeated in a combination (every element appears uniquely once); this is often referred to as "without replacement/repetition". this is because combinations are defined by the elements contained in them, s the set {1, 1, 1} is the same as {1}. for example, from a 52-card deck any 5 cards can form a valid combination (aÂ hand). the order of the cards doesn't matter and there can be no repetition of cards.

Noun1. a collection of things that have been combined; an assemblage of separate parts or qualities (hypernym) collection, aggregation, accumulation, assemblage (hyponym) amalgam (derivation) aggregate, combine2. a coordinated sequence of chess moves (hypernym) sequence3. a sequence of numbers or letters that opens a combination lock; "he forgot the combination to the safe" (hypernym) sequence4. a group of people (often temporary) having a common purpose; "they were a winning combination" (hypernym) unit, social unit (derivation) combine5. 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) (hypernym) alliance, coalition, alignment, alinement (hyponym) combination in restraint of trade (derivation) combine (classification) politics, political science, government6. the act of arranging elements into specified groups without regard to order (hypernym) mathematical process, mathematical operation, operation (derivation) aggregate, combine7. the act of combining things to form a new whole (synonym) combining, compounding (hypernym) change of integrity (hyponym) attachment, affixation

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A group or sequence of dance figures or patterns

### Common misspellings

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### Typos

• combinqtions
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• combinanosit
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• combinaisnot
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• combinatinso
• combinatniso
• combinansoit
• combinaontsi

#### Word analysis of combinations

 Length 12 Vocals combinations Consonants combinations MD5 9256e4c379ff4a504a88c567d54dcb97 SHA1 7715cf31e346c9f1126fc22d4e13f1c75772c28d