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Chapter 11: Problem 23

Explain the Fundamental Counting Principle.

Short Answer

Expert verified
The Fundamental Counting Principle states that if there are n ways to do one thing, and m ways to do another, then there are n*m ways of doing both. We use it to calculate the number of outcomes for an event with multiple possibilities.

Step by step solution

01

Understanding the Principle

The Fundamental Counting Principle simply states that if there are \(n\) ways to do one thing, and \(m\) ways to do another, then there are \(n \times m\) ways of doing both.
02

Applying the Principle

To apply this principle, first identify the number of ways each event can occur. Then, multiply these numbers together.
03

Example of Fundamental Counting Principle

For example, if you have 3 shirts, 2 pants, and 4 shoes to choose from, and you want to determine how many different outfits you can make, you can use the fundamental counting principle. This leads to \(3 \times 2 \times 4 = 24\) different possible outfits.

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