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An array A[1...n] contains n distinct numbers that are randomly ordered, with each permutation of the n numbers being equally likely. What is the expectation

An array A[1...n] contains n distinct numbers that are randomly ordered, with each permutation of the n numbers being equally likely. What is the expectation of the index of the maximum element in the array? What is the expectation of the index of the minimum element in the array?

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