Here's a problem I have to solve. I found what I think is the solution, but wanted to see how someone comfortable with math would solve it. It's fairly simple.
There are 7 women and 9 men.
a. How would you choose a 5 member group where at least one of those members is a woman?
b. How would you choose a 5 member group where at least one woman and one man had to be in the group?
This was from a lesson on r-combinations and r-permutations.