Question: A is a set containing n elements. A subset P of A is chosen at random and the set A is reconstructed by replacing

A is a set containing n elements. A subset P of A

A is a set containing n elements. A subset P of A is chosen at random and the set A is reconstructed by replacing the elements of P. Another subset Q of A is now chosen at random. Find the probability that PUQ contains exactly r elements, with 1rn.

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