
Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria (as in combinatorial designs ...
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http://en.wikipedia.org/wiki/Combinatorics

the field of mathematics concerned with problems of selection, arrangement, and operation within a finite or discrete system. Included is the closely ... [3 related articles]
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http://www.britannica.com/eb/a-z/c/114

The study of the ways of choosing and arranging objects from given collections and the study of other kinds of problems to do with counting the number of ways to do something.
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combinatorics 1. Combinatorial topology which studies geometric forms by breaking them into simple geometric figures. 2. The branch of discrete mathematics that deals with the study of arrangement of objects into sets, and in particular with two general types of problems: enumeration and existence. 3. The study of the number of ways in which a gi...
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the study of different combinations and groupings of numbers, often used in probability and statistics, as well as in scheduling problems and Sudoku puzzles
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https://www.storyofmathematics.com/glossary.html
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