Counting Principle Worksheet

This worksheet focuses on the fundamental counting principle with real-world scenarios for Grade 8 students.

Grade 8 Math Probability and StatisticsCounting Principle

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Includes

Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.7.SP.C.8.A

Topics

mathgrade 8counting principleprobabilitycombinations

6 sections · Free to use · Printable

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Counting Principle Practice

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Read each question carefully and use the fundamental counting principle to determine the total number of possible outcomes. Show your work where applicable.

1. A restaurant offers 5 appetizers, 8 main courses, and 4 desserts. How many different 3-course meals can a customer order?

2. You are creating a password for a new account. The password must be 3 characters long. The first character must be a lowercase letter (a-z), the second character must be a digit (0-9), and the third character must be a symbol (!@#$%^&*). How many different passwords can be created?

3. A car manufacturer offers 6 different models, each available in 5 exterior colors and 3 interior colors. How many distinct cars can be created?

180

4. A student is choosing an outfit for school. They have 4 shirts, 3 pairs of pants, and 2 pairs of shoes. How many different outfits can they create?

5. If there are 7 different routes from city A to city B, and 3 different routes from city B to city C, then there are different ways to travel from city A to city C.

6. A coin is flipped 4 times. The total number of possible outcomes is .

7. The counting principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are 'm + n' ways to do both.

True

False

8. If you have 3 choices for a shirt and 2 choices for pants, you have 6 possible outfits.

True

False