>>13167156Give each seat an identifier in the form of a number. Then you have seat 1, seat 2, ..., seat 5.
For seat 1, you have 5 possibilities of who can sit on it. Then there are 4 people left, so for seat 2 there are 4 possibilities of who can sit on it. Continue until you've reached seat 5, which the remaining person will sit on.
So the result is 5 * 4 * 3 * 2 * 1 = 5!