Answered: How to use the counting principle?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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How to use the counting principle?

Expert Solution

Step 1

According to the question, we have to explain the counting principle.

The fundamental counting principle states that if there are $' a'$ ways to do one thing, and ' ways to do another thing, then there are $a \times b$ ways to do both things. possible outcomes of the experiment. The counting principle can be extended to situations where you have more than 2 choices.

For example, How many meal combos are possible?
A. There are 4 stages:

1-Choose a sandwich.

2-Choose a side

3--Choose a dessert.

4-Choose a drink.

There are 4 different types of sandwich, 3 different types of side, 2 different types of desserts and five different types of drink.

The number of meal combos possible is 4 * 3 * 2 * 5 = 120

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