1. This question is sponsered by (fill in your favorite pizza place). You've got a coupon for a 15 topping pizza, and you plan on getting all 15 toppings out of it! The local pizza place has following 7 toppings: pepperoni, sausage, meatball, pineapple, olives, bell pepper, and kale. How many different pizzas can you get if (a) you have no restrictions on the number of toppings? (b) you get at least two of each kind of topping? (c) your roommate demands that you get at least 7 toppings worth of kale and at least 2 toppings worth of olives? (d) your roommate demands that you get exactly 5 toppings worth of sausage?