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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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Non-recursive solution to expected size of set

Let $F(A)$ be a function on an ordered set $A = \{A_1, A_2, \dotsc, A_n\}$ that outputs a set $B$ such that the elements of $B$ are determined as follows. $A_i\in B$ if $A_i > A_{i-1}, A_{i-2}\dotsc , …
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