Question: Say that a permutation 7 on [2n] has property P if for some i [2n], |T (i) (i+1)| = n, where i + 1

Say that a permutation 7 on [2n] has property P if for

Say that a permutation 7 on [2n] has property P if for some i [2n], |T (i) (i+1)| = n, where i + 1 is taken modulo 2. Show that, for each n, there are more permutations with property P than without it. Hint: Consider the sets A = {T: |n(i)(i+1)| = n}. Show that |A| = 2n(2n2)! and AAi+ - = 0. =

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