Question: In the local ice cream shop, you may get a sundae with two scoops of ice cream from 10 flavors (in accordance with your mother's rules from Problem, the way the scoops sit in the dish does not matter), any one of three flavors of topping, and any (or all or none) of whipped cream, nuts and a cherry. How many different sundaes are possible?
Problem: We are choosing participants for a panel discussion allowing on allowing alcohol on campus. We have to choose four administrators from a group of ten administrators and four students from a group of twenty students. In how many ways may we do this?