Question: Let A be an array that stores n distinct numbers. The efficiency of some algorithms depends on how well the array is sorted. One measure

Let A be an array that stores n distinct numbers. The efficiency of some algorithms depends on how well the array is sorted. One measure for sortedness
is the number of inversions. An inversion is a pair (i, j) in {0,..., n 1}
2
,
where i < j but A[i]> A[j].
Suppose A stores a random permutation of {1,..., n}. What is the expected
number of inversions?

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