If four friends buy tickets to a concert with assigned seats, how many different ways can they be arranged in those four seats?

1 Answer
May 9, 2016

4! = 4 x 3 x 2 x 1 = 24 ways

Explanation:

Think of each person taking a seat one at a time.

For the first seat, there is a choice of four people who could sit in it.
For the second seat there is now a choice of three people.
For the third seat, there is a choice of 2 people, but for the remaining seat there is only one person left to sit down.

Total number of arrangements = 4 x 3 x 2 x 1 = 24