Question

Garcia's Grill offers 7 side dishes, 5 types of steak, and 8 toppings. How many different smothered steak dinners can be made if a smothered steak dinner consists of the customer's choice of steak served with 3 different toppings and 4 different side dishes?

Answer 1

The number of smothered steak dinners that can be made is 9,800

Explanation:

A smothered steak dinners consist of customer’s choice of steak with 3 different toppings and 4 different side dishes.

What this means is that;

Customer will select 1 steak out of 5 types

3 toppings out of 8

4 out of 7 side dishes

Thus, the number of steak dinners would be;

5C1 * 8C3 * 7C4

= 5 * 56 * 35 = 9,800