Problem 4. Each of the ten sections in your community band (trombones, flutes and so on) contain at least four people. The conductor needs a quartet to play at a school event. How many different sets of instruments might end up playing at the event?

We are choosing participants for a panel discussion on allowing alcohol on a university campus. We must choose 2 administrators from a group of 8 administrators and 2 students from a group of 12 students. How many different panels can be formed?

In a certain suburban neighborhood, 20 families own minivans, 27 families own BMW sedans, and 9 families own neither a minivan nor a BMW sedan. There are are 40 families in the neighborhood. a. How many families own a minivan or a BMW sedan? b. How many families own a minivan and a BMW sedan? Thank you!