Question

Find the circular permutation for 5 things taken 5 at a time.

Answer 1

The number if distinct 5 permutations of 5 objects is 120

Answer 2

{{1, 2, 3, 4, 5}, {1, 2, 3, 5, 4}, {1, 2, 4, 3, 5}, {1, 2, 4, 5, 3}, {1, 2, 5, 3, 4}, {1, 2, 5, 4, 3}, {1, 3, 2, 4, 5}, {1, 3, 2, 5, 4}, {1, 3, 4, 2, 5}, {1, 3, 4, 5, 2}, {1, 3, 5, 2, 4}, {1, 3, 5, 4, 2}, {1, 4, 2, 3, 5}, {1, 4, 2, 5, 3}, {1, 4, 3, 2, 5}, {1, 4, 3, 5, 2}, {1, 4, 5, 2, 3}, {1, 4, 5, 3, 2}, {1, 5, 2, 3, 4}, {1, 5, 2, 4, 3}, {1, 5, 3, 2, 4}, {1, 5, 3, 4, 2}, {1, 5, 4, 2, 3}, {1, 5, 4, 3, 2}, {2, 1, 3, 4, 5}, {2, 1, 3, 5, 4}, {2, 1, 4, 3, 5}, {2, 1, 4, 5, 3}, {2, 1, 5, 3, 4}, {2, 1, 5, 4, 3}, {2, 3, 1, 4, 5}, {2, 3, 1, 5, 4}, {2, 3, 4, 1, 5}, {2, 3, 4, 5, 1}, {2, 3, 5, 1, 4}, {2, 3, 5, 4, 1}, {2, 4, 1, 3, 5}, {2, 4, 1, 5, 3}, {2, 4, 3, 1, 5}, {2, 4, 3, 5, 1}, {2, 4, 5, 1, 3}, {2, 4, 5, 3, 1}, {2, 5, 1, 3, 4}, {2, 5, 1, 4, 3}, {2, 5, 3, 1, 4}, {2, 5, 3, 4, 1}, {2, 5, 4, 1, 3}, {2, 5, 4, 3, 1}, {3, 1, 2, 4, 5}, {3, 1, 2, 5, 4}, {3, 1, 4, 2, 5}, {3, 1, 4, 5, 2}, {3, 1, 5, 2, 4}, {3, 1, 5, 4, 2}, {3, 2, 1, 4, 5}, {3, 2, 1, 5, 4}, {3, 2, 4, 1, 5}, {3, 2, 4, 5, 1}, {3, 2, 5, 1, 4}, {3, 2, 5, 4, 1}, {3, 4, 1, 2, 5}, {3, 4, 1, 5, 2}, {3, 4, 2, 1, 5}, {3, 4, 2, 5, 1}, {3, 4, 5, 1, 2}, {3, 4, 5, 2, 1}, {3, 5, 1, 2, 4}, {3, 5, 1, 4, 2}, {3, 5, 2, 1, 4}, {3, 5, 2, 4, 1}, {3, 5, 4, 1, 2}, {3, 5, 4, 2, 1}, {4, 1, 2, 3, 5}, {4, 1, 2, 5, 3}, {4, 1, 3, 2, 5}, {4, 1, 3, 5, 2}, {4, 1, 5, 2, 3}, {4, 1, 5, 3, 2}, {4, 2, 1, 3, 5}, {4, 2, 1, 5, 3}, {4, 2, 3, 1, 5}, {4, 2, 3, 5, 1}, {4, 2, 5, 1, 3}, {4, 2, 5, 3, 1}, {4, 3, 1, 2, 5}, {4, 3, 1, 5, 2}, {4, 3, 2, 1, 5}, {4, 3, 2, 5, 1}, {4, 3, 5, 1, 2}, {4, 3, 5, 2, 1}, {4, 5, 1, 2, 3}, {4, 5, 1, 3, 2}, {4, 5, 2, 1, 3}, {4, 5, 2, 3, 1}, {4, 5, 3, 1, 2}, {4, 5, 3, 2, 1}, {5, 1, 2, 3, 4}, {5, 1, 2, 4, 3}, {5, 1, 3, 2, 4}, {5, 1, 3, 4, 2}, {5, 1, 4, 2, 3}, {5, 1, 4, 3, 2}, {5, 2, 1, 3, 4}, {5, 2, 1, 4, 3}, {5, 2, 3, 1, 4}, {5, 2, 3, 4, 1}, {5, 2, 4, 1, 3}, {5, 2, 4, 3, 1}, {5, 3, 1, 2, 4}, {5, 3, 1, 4, 2}, {5, 3, 2, 1, 4}, {5, 3, 2, 4, 1}, {5, 3, 4, 1, 2}, {5, 3, 4, 2, 1}, {5, 4, 1, 2, 3}, {5, 4, 1, 3, 2}, {5, 4, 2, 1, 3}, {5, 4, 2, 3, 1}, {5, 4, 3, 1, 2}, {5, 4, 3, 2, 1}}