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Chapter 12: Q17. (page 635)

The menu for a banquet has a choice of 2 types of salad, 5 main courses, and 3 desserts. How many ways can a salad, main course, and dessert be selected to form a meal?

Short Answer

Expert verified

The meal can be selected in30 ways.

Step by step solution

01

Step 1. Given Information.

Given, the menu for a banquet has a choice of 2 types of salad, 5 main courses, and 3 desserts. It is to be determined in how many ways can a salad, main course, and dessert be selected to form a meal.

02

Step 2. Calculation.

There are 2 ways to choose among the 2 types of salad.

And there are 5 ways to choose among the 5 types of main courses.

And then there are 3 ways to choose among the 3 types of desserts.

By the Fundamental Counting Principle, there are 2×5×3=30 possible ways to form a meal.

03

Step 3. Conclusion.

Hence, by Fundamental Counting Principle, the meal can be formed in 30 ways.

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