u can use BIT(Binary Indexed Tree) to count inversions.
I prefer this becoz it is much easier to code BIT than merge sort.

On Apr 24, 4:25 am, سهراب ابوالفتحی <sohrab.abolfa...@gmail.com>
wrote:
> Let A[1..n] 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. Give an algorithm that
> determines the number of inversions in any permutation on n elements in
> tetta(n lg n) worst-case time. (with Modify merge sort.)

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