The order of a cyclic permutation of length n is?
- n
- n!
- (n - 1)!
- (n + 1)!
Explanation
The correct answer is: n.
A cyclic permutation of length n is a permutation that shifts each element one position to the right (or left) in a cycle. For example, the cyclic permutation (1 2 3 4 5) maps 1 to 2, 2 to 3, 3 to 4, 4 to 5, and 5 to 1.
The order of a cyclic permutation of length n is n, because it takes n applications of the permutation to return to the original arrangement.
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