Counting divisors of degree `n` with a given array `m` and support in a point set `S` that has `c δ` points of degree `δ`: their number is the product of falling factorials over multinomial factors.

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Counting divisors of degree `n` with a given array `m` and support in a point set `S` that has `c δ` points of degree `δ`: their number is the product of falling factorials over multinomial factors. · Prove2Me