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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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The number of good partitions

This was also posted in stackexchange. However, I have no idea how difficult it is. All hints or references are appreciated! Consider a set $S$ of $n$ red balls and $m$ blue balls. It is well known t …
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