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Mathematics, 20.09.2020 17:01 nellyjsotelo

Let R be the space of all the N! Permutations of (1,2,...N), and let R = (R1, ...Rn) be uniformly distributed over R. Prove that (i) P(Ri=k) = 1/N; 1<=i, k<=N. (ii)P(Ri=k, Rj=h) = 1/N(N-1), 1<= i ≠j, k≠h<=N (iii)P(Ri=k, Rj=k) = 0, 1<=i≠j, k<=N.

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