Question: Let A be an array of n distinct numbers. A pair ( i , j ) ( where 1 < = i , j <

Let A be an array of n distinct numbers. A pair (i, j)(where 1<= i, j <= n) is an inversion of A if i < j
and A[i]> A[ j]. Calculate the expected number of inversions of A using indicator random variables.
(Note: The solution should be in terms of n and should not be an asymptotic guess.)

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