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Permutation ( Definition, Formula, Types, and Examples)

Permutation

5.18 Prove that the number of inversion in a permutation will always change by an odd number when a transposition is performed. Prove using this fact theorem 5.1SolutionFrom thm 5.1 we have: The factorisations of a permutation into transpositions will either all be of even length or all of odd lenght:

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How To Use an Inversion Table 1-2-3