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Combinatorics
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===Enumerative combinatorics=== [[Image:Catalan 4 leaves binary tree example.svg|320px|right|thumb|Five [[binary tree]]s on three [[Vertex (graph theory)|vertices]], an example of [[Catalan number]]s.]] {{Main|Enumerative combinatorics}} Enumerative combinatorics is the most classical area of combinatorics and concentrates on counting the number of certain combinatorial objects. Although counting the number of elements in a set is a rather broad [[mathematical problem]], many of the problems that arise in applications have a relatively simple combinatorial description. [[Fibonacci numbers]] is the basic example of a problem in enumerative combinatorics. The [[twelvefold way]] provides a unified framework for counting [[permutations]], [[combinations]] and [[Partition of a set|partitions]].
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