Section: Mathematics Usage

27) How many 3-person committees can be formed in a club with 8 members?

1. 24
2. 48
3. 56
4. 78
5. 336

The formula to solve this is n! / (k! (n-k)!), where n = 8 and k = 3. Therefore, when we fill in the numbers we have:

8! / (3!(8-3)!)

This becomes

40320 / (6 * 5!) = 40320 / (6 * 120) = 40320 / 720 = 56