Question: Consider the Permutation Cipher with m = 4. Determine the number of involutory keys in this cryptosystem. Justify rigorously your answer. NOTE : Please do

Consider the Permutation Cipher with m = 4. Determine the number of involutory keys in this cryptosystem. Justify rigorously your answer.

NOTE: Please do not give me the stackoverflow answer, which involves the use of "cycles" in its justification. I'm looking for something a little bit more elementary so I can understand the proof.

Thank you for your help.

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