Question: Let's also generalize Problems I and II to a more reasonable ice-cream store. There are still three kinds of cones (the usual), but now there are k flavors of ice cream.
(a) How many different single-scoop ice-cream cones can be ordered?
(b) How many ice-cream scoops must be in use if two of them have to be stored in the same flavor ice-cream container?
Problems I: A group of friends goes out for single-scoop ice-cream cones. There are sugar cones, cake cones, and waffle cones. But there are only five flavors of ice cream left (peppermint, hoarhound, chocolate malt, gingerbread, and squirrel). How many cone/ice cream combinations can be ordered?
Problems II: At this ice-cream store, ice-cream scoops are stored right in the ice-cream containers. How many ice-cream scoops must be in use if two of them have to be stored in the same flavor ice-cream container?