Stirling numbers of the second kind count the number of ways of partitioning a set of n elements into k non-empty disjoint subsets whose union is the original set. This is equivalent to counting the number of ways of distributing n distinguishable balls into k indistinguishable boxes. The problem turns out to reduce to counting surjections from one finite set to another, with a twist.
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Негізгі бет Stirling Partition Number of a Set in Combinatorics
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