1. How many different poker hands consist entirely of red cards?
A poker hand consists of 5 cards selected from a standard deck of 52 cards.
2. Five students order different sandwiches at a campus eatery. The waiter forgets who ordered what and gives out the sandwiches at random. In how many different ways can the sandwiches be distributed?
3. A nautical signal consists of three flags arranged vertically on a flagpole. If a sailor has six flags, each of a different color, how many different signals are possible?