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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
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(Approximate) Number of ways to partition $n$ elements into ordered subsets of bounded size
Given positive integers $n$ and $c$, with $n>c$, is there a good way to estimate the number of ways to partition the set $\{1,\dots,n\}$ into ordered subsets, with each subset having at most $c$ eleme …