Counting Principle Worksheet
This worksheet focuses on the fundamental counting principle with real-world scenarios for Grade 8 students.
Includes
Standards
Topics
Counting Principle Practice
Name:
Date:
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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?
14
30
90
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?
9
12
24
36
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
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