In a club there are 8 women and 5 men. A committee of 4 women and 3 men is to be chosen. How many different ways are there to select the committee?

Question

How would I do this and can you explain?

Answer 1

Hi Mandy

There are ₈C₄ ways to choose four women out of eight without regard for order (70) and ₅C₃ ways to choose 3 men out of five (10) so there are 70*10 or 700 different ways to select the committee.

If you have questions let me know.

Jim