Given a set of elements N = {1, 2, …, n} and two arbitrary subsets A⊆N and B⊆N, how many of the n! permutations π from N to N satisfy min(π(A)) = min(π(B)), where min(S) is the smallest integer in the set of integers S, and π(S) is the set of integers obtained by applying permutation π to each element of S?(A) (n – |A ∪ B|) |A| |B|(B) (|A|2+|B|2)n2(C) n! |A∩B| / |A∪B|(D) |A∩B|2nC|A∪B|

Given a set of elements N = {1, 2, …, n} and two arbitrary subsets A

1.	Given a set of elements N = {1, 2, …, n} and two arbitrary subsets A⊆N and B⊆N, how many of the n! permutations π from N to N satisfy min(π(A)) = min(π(B)), where min(S) is the smallest integer in the set of integers S, and π(S) is the set of integers obtained by applying permutation π to each element of S?(A) (n – \|A ∪ B\|) \|A\| \|B\|(B) (\|A\|2+\|B\|2)n2(C) n! \|A∩B\| / \|A∪B\|(D) \|A∩B\|2nC\|A∪B\|
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