Chapter 12.6, Problem 66STP

To determine

To calculate: the number of different lunches that are possible by school cafeteria.

Answer to Problem 66STP

There are $72$ lunches possible.

Explanation of Solution

Given information:

The school cafeteria serves lunches consisting of 1 main dish, 1 vegetable, 1 salad, and 1 desert. The menu has choices of 2 main dishes, 3 vegetables, 3 salads , and 4 deserts.

Formula used:

When events are independent, the number of outcomes can be found out by Multiplication Counting Principle.

If there are m ways to make a first selection and n ways to make a second selection then there are $m\times n$ ways to make the two selections.

Calculation:

According to the question ,

The lunch consists of 1 main dish, 1 vegetable, 1 salad, and 1 dessert.

The choice for main dish is 2.

The choice for vegetables is 3.

The choice for salad is 3.

The choice for dessert is 4.

  $\begin{array}{l}=2\times 3\times 3\times 4\\ =72\end{array}$

Hence, there are $72$ different lunches .