Question: 17 (a) Prove that a permutation # in the Permutation Cipher is an involutory key if and only if w(i) = j implies (j) =

17 (a) Prove that a permutation # in the Permutation Cipher is an involutory key if and only if w(i) = j implies (j) = i, for all i, j E {1, . .., m}. (b) Determine the number of involutory keys in the Permutation Cipher for m = 2, 3, 4, 5 and 6

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