1. On a game show, you are offered the chance to select up to 4 of the 10 other contestants to be on your team, but they will share the winnings (i.e. you don’t have to pick anyone if you think you can do well all by yourself). How many combinations of teammates can you possibly select?
2. You are ordering an ice-cream sundae. There are 10 flavors of ice cream and 10 toppings. The special of the day allows you to choose two different flavored scoops of ice cream and three different toppings. How many choices of sundae are available for the daily special?
3. Three standard six-sided dice are rolled: one red, one blue, and one white. How many outcomes are possible where the number rolled on the red die is greater than the number rolled on the blue die, and the number on the white die is greater than the blue die?
