Question

The supreme choice pizza at Paolo's Pizzeria contains 3 different meats and 5 different vegetables. The customer can select any one of 4 types of crust. If there are 5 meats and 7 vegetables to choose from, how many different supreme choice pizzas can be made?

Answer 1

840

Step-by-step explanation:

There are
`{5 \choose 3} = 10` ways to pick the 3 meats,
`{7 \choose 5} = 21` ways to pick the 5 vegetables, and 4 ways to pick the crust.

Therefore, there are 10*21*4 = 840 different pizzas that can be made.