Circular Permutations

The circular permutations are used when the elements have to be arranged "in a circle" order, (for example, the guests around a table at a dinner party), so that the first element that "is located" in the sample determines the beginning and the end of the sample.

Circular Permutations

Examples

1. Calculate the circular permutations of 7 elements.

PC7= (7 − 1)! = 6! = 6 · 5 · 4 · 3 · 2 · 1 = 720

2. How many ways can eight people sit around a round table?

Circular Permutation Solution