Counting Principle Worksheet
Explore fundamental counting principles with this Grade 7 worksheet, covering permutations and combinations through various problems.
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Counting Principle Worksheet
Name:
Date:
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Read each question carefully and use the counting principle to solve the problems. Show your work where applicable.
1. If there are 3 choices for an appetizer and 4 choices for a main course, then there are possible appetizer-main course combinations.
2. The counting principle states that if one event has 'm' possible outcomes and a second independent event has 'n' possible outcomes, then there are total possible outcomes for both events occurring together.
3. A coin is flipped and a standard six-sided die is rolled. How many possible outcomes are there?
2
6
8
12
4. A restaurant offers 5 different types of sandwiches and 3 different drinks. How many different sandwich and drink combinations are possible?
5
8
15
25
5. 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?
6. A new car can be ordered with 6 exterior colors, 2 interior colors, and 3 different wheel options. How many different ways can a customer order a car?
7. If you have 3 different hats and 2 different scarves, you can make 5 different hat-scarf combinations.
True
False
8. The counting principle is used to find the number of ways events can occur in a specific order.
True
False
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