Question: 2. Let A be an array of n distinct numbers. If i < j and A[i] > A[j] , then the pair (i, j) is

2. Let A be an array of n distinct numbers. If i < j and A[i] > A[j] , then the pair (i, j) is called an inversion of A. Suppose that the elements of A form a uniform random permutation of 1, 2, ..., n. Compute the expected number of inversions.

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