Show that you can arrange n copies of all 3" ternary strings so that two consecutive strings differ in one position, and the last string and first string also differ in one position. For example, with n = 2, 11, 21, 22, 12, 32, 12, 22, 23, 33, 31, 21, 11, 13, 23, 13, 33, 32, 31 is one such arrangement.

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A: Factorial:

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