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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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Seeking a formula for a counting problem
Suppose $cnt(i)$ represents the number of occurrences of $i$ in array $A$ of length $n$ whose elements are between $1$ and $n$. An array is called a $k$-good array if and only if $cnt(k)=k$ and $\fora …