Counting Principle With Three or More Choices
Written by Adi Ackerman, Head Teacher
"Counting Principle With Three or More Choices" is written for 8th Grade (Ages 13-14). A 7th grader who is already steady on probability can use it too, and an older student can use it as a short review.
8th grade math worksheet: multiply three or four choices to count 12 totals, like a car in 6 colors, 3 trims, 2 engines and 4 wheels. Answer key included. Part of our counting principle probability collection.
How do I use this worksheet?
Assign Use the Counting Principle first, then the sheet with three or more choices. Assign the license plate sheet for a challenge and the riddle as a review.
What students will practice
- Students will use the counting principle with three or four steps.
- Students will count outcomes for locks, codes, number cubes and menus.
- Students will count answer patterns for 4 questions with 4 choices each.
Curriculum Links
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FAQ
How do I use this counting principle worksheet?
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Assign Use the Counting Principle first, then the sheet with three or more choices. Assign the license plate sheet for a challenge and the riddle as a review.
What does this worksheet teach?
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Multiply three or four choices to count 12 totals, like a car in 6 colors, 3 trims, 2 engines and 4 wheels. The directions on the page read: Write the number of choices for each step on the blanks. Multiply to find the total number of outcomes. The page opens with a worked example, and an answer key is included.
Can I use this counting principle worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade probability, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How does the counting principle work?
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Multiply the number of choices for each step. With 6 hats and 7 scarves there are 6 times 7, or 42 outfits.
How do you count codes when no digit repeats?
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Each step has one fewer choice than the step before. A 3-digit code from 1 to 9 with no digit twice has 9 times 8 times 7, or 504 codes.
Does the counting principle match a tree diagram?
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Yes. The number of outcomes at the bottom of a tree equals the product of the choices. The Counting Principle vs Tree Diagram sheet has students check that both answers match.
Are answer keys included for these sheets?
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Yes. Each of the 5 counting principle sheets comes with an answer key.
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Worksheet Details
| Grade | 8th Grade |
| Subject | Math |
| Topic | Probability |
| Pages | 1 page |
| Difficulty | Medium |
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