What is the total number of inversions

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Reference no: EM131842010

Problem

1. Show that the permutation [n, n - 1, ... , 2, 1] has n (n - 1) inversions.

2. Give the transpose of the permutation [2, 5, 1, 6, 3, 4], and find the number of inversions in both permutations. What is the total number of inversions?

3. Show that there are n (n - 1) /2 inversions in a permutation of n distinct ordered elements with respect to its transpose.

Reference no: EM131842010

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