Permutation

Definition of 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:

Inversion Table Benefits vs Risks

How To Use an Inversion Table 1-2-3

Inversion Table - How To Use, Benefits & Warnings