Question: S Fixed points of a random permutation. Let D Sn be the set of all permutations of 1; : : : ; n and P

S Fixed points of a random permutation. Let D Sn be the set of all permutations of ¹1; : : : ; nº and P D U the uniform distribution on . For every permutation ! 2 , let X.!/ be the number of fixed points of !. Find E.X/ and V.X/ (without using Problem 2.11).

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