Question

A circular, rotating, serving tray has 7 different desserts around its circumference. In how many different ways can all the desserts be arranged on the circular tray?

Answer 1

If there are n different things in a circular arrangement, the number of ways of arranging them is (n - 1)!
The number of ways the desserts can be arranged on the circular tray is:
(7 - 1)! = 6 * 5 * 4 * 3 * 2 * 1 = 720 ways