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Mathematics, 17.12.2019 22:31 shwubblz

Find the exponential generating series for the number of functions f : a → b f: a→b where a = { 1 , 2 , . . , n } a={1,} and b = { 1 , 2 , . . , m } b={1,} such that the preimage set of every element of b b is at least size four, i. e., # f − 1 ( j ) ≥ 4 #f−1(j)≥4 for each j ∈ b j∈b.

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