Questions tagged [combinatorics]

For questions about the study of finite or countable discrete structures, especially how to count or enumerate elements in a set (perhaps of all possibilities) or any subset. It includes questions on permutations, combinations, bijective proofs, and generating functions.

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Distributing identical objects between distinct groups with limited capacity: Gaussian approximation

Consider the problem of counting the number of ways one can distribute $k$ identical objects between $g$ distinct groups, such that no group has more than $c$ objects. The solution of this counting ...