High Quality Content by WIKIPEDIA articles! In mathematics, in the field of combinatorics, the q-Vandermonde identity is the q-analogue of the Chu-Vandermonde identity. The proof follows from observing the q-binomial identity with q-commuting operators (namely BA = qAB). 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 and matroid theory), finding "largest", "smallest", or "optimal" objects (extremal combinatorics and combinatorial optimization), and studying combinatorial structures arising in an algebraic context, or applying algebraic techniques to combinatorial problems (algebraic combinatorics).

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