Men and Women: Committee Selection There is a club consisting of six distinct men and seven distinct women. How many ways can we select a committee of three men and four women?

Hint: You can splitt the problem in three parts.
(1) in how many ways can you pick a group of 3 men out of 6.
(2) in how many ways can you pick a group of four women out of 7.
(3) in how many ways can you combine these two groups? ( it's just (1)$\times$(2))
