Let σ=(a_1, a_2, a_3, …, a_n) be a permutation of (1,2,3, …, n). A pair (a_i, a_j) is said to cor...

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Let σ=(a_1, a_2, a_3, …, a_n) be a permutation of (1,2,3, …, n). A pair (a_i, a_j) is said to correspond to an inversion of σ, if ij but a_ia_i. (Example : In the permutation (2,4,5,3,1), there are 6 inversions corresponding to the pairs (2,1),(4,3),(4,1),(5,3)(5,1),(3,1). ) How many permutations of (1,2,3, … n),(n ≥ 3), have exactly two inversions.?

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