Question: Please help me with the discrete math problem below: An inversion in a permutation Sn is a pair 1 i < j n such that

Please help me with the discrete math problem below:

An inversion in a permutation Sn is a pair 1 i < j n such that (i) > (j). Let 1 k n. What is the number of inversions in the permutation

(1 2 k)(k + 1)(k + 2) (n)

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