In a class there are 8 women and 5 men. A committee of 3 women and 2 men is to be formed for a project. How many different possibilities are there?

Answer 1

(8 choose 3) ( 5 choose 2)

[8! / (3!5!)) ] [ 5! / (2!3!)] = <--- 5! and 3! cancel out

(8*7*6/ 3!) (5 * 4 / 2! ) = <-- 3! = 6 cancels out; 4/2! = 2

8*7 * 5 * 2 = 560