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Number of partitions of a set, where the partitions have specific sizes

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Counting partitions of a finite set in $\lambda_j$ $j$-element sets

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Intersection of set partitions

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Known classic problem or not?

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Partition of $S = \{1,2,\dots, 3n\}$ in to three subsets $A, B, C$ such that $|A| = |B| = |C| = n$

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Recurrence Relations; partitions of a set

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Partition inducing equivalence

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Partitioning a multiset avoiding monochrome non-singleton parts

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Given $S=\{0,1,2,3,4,5\}$, find the partition induced by the equivalence relation $R$

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Partition into "fibers" $f^{-1}(y) \in Y$

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