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Mathematics 25 Online
OpenStudy (anonymous):

Suppose in a party of 5 persons, every person brings a gift to the party for exchange. The gifts are distributed back to the persons randomly. Evaluate |\(A_i\)|, 1 ≤ i ≤ 5, where \(A_i\) is the set of ways to distribute the gifts such that person i receives his/her own gift.

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