Find solutions to your questions with the help of IDNLearn.com's expert community. Receive prompt and accurate responses to your questions from our community of knowledgeable professionals ready to assist you at any time.

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?

Sagot :

Answer:

840

Explanation:

There are [tex]{5 \choose 3} = 10[/tex] ways to pick the 3 meats, [tex]{7 \choose 5} = 21[/tex] 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.