Fundamental Counting Principle: Definition & Examples


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Suppose you can choose from 3 different shirts, 2 pairs of pants, and 5 pairs of shoes. Use the fundamental counting principle to find out how many different outfit combinations you can make.

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1. If you have a combination lock that consists of three numbers, and each number in the combination has 10 options (the digits 0 to 9), how many combinations can you create?

2. Suppose 10 horses are in a race. How many different ways can the horses be arranged (finishing orders)?

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About This Quiz & Worksheet

The fundamental counting principle allows you to find out the number of ways that a combination of events can occur. This quiz and worksheet combination will help you improve your understanding of this principle. The quiz will test how well you can perform calculations using the fundamental counting principle and the situations in which you should apply it.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Your ability to perform these calculations
  • Defining the arrangement of these combinations
  • Knowing when to use the fundamental counting principle

Skills Practiced

This quiz and worksheet will help you test the following skills:

  • Reading Comprehension - ensure that you draw the most pertinent information about the fundamental counting principle from the related lesson
  • Making connections - use your understanding of the concept of multiplication to perform calculations using the fundamental counting principle
  • Problem solving - use acquired knowledge to solve problems using the fundamental counting principle

Additional Learning

To learn more about this principle and these calculations, review the accompanying lesson Fundamental Counting Principle: Definition & Examples. This lesson covers the following objectives:

  • Define the fundamental counting principle
  • Explain how to perform calculations using this principle
  • Describe how to diagram these functions to make them easier to solve
  • Understand how and when to use the fundamental counting principle