Web Reference: Mar 25, 2026 · The number is (n-1)! instead of the usual factorial n! since all cyclic permutations of objects are equivalent because the circle can be rotated. For example, of the 3!=6 permutations of three objects, the (3-1)!=2 distinct circular permutations are {1,2,3} and {1,3,2}. Aug 27, 2023 · Permutation part 3 is the third short and this one covers the arrangements in a circle. The rotation of the same arrangements are consider the same. Jul 23, 2025 · A circular permutation is a configuration of items or components where the starting and ending positions are flexible. It entails keeping track of all the possible arrangements of things around a closed loop.
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