Question

4. Suppose a pizza parlor has a deal for two-topping pizzas. There are 4 types of crust, 3 types of cheese, and 12 types of toppings that are eligible for this deal. If the toppings for the pizza must be distinct, how many two-topping pizzas are possible?

Answer 1

Number of ways to select 2 toppings from 12 = 12C2

= 12!/(2! x 10!)

= 66

Number of ways to select crust = 4

Number of ways to select cheese = 3

Number of two-topping pizzas possible = 66 x 4 x 3

= 792