Quiz: Permutation and Combination Practice Problems for High School

This quiz contains questions based on the concepts of permutations and combinations. It is designed to test the basic understanding of these topics among high school students. However, anyone interested is welcome to take the quiz. To learn more about permutations and combinations, please watch the video provided in this post. Try to solve the questions without external help. If you don’t get all the answers correct on your first attempt, don’t worry—you can retake the quiz to aim for a perfect score. If you notice any errors in the questions or answers, please leave a comment so we can address them. Enjoy the quiz and good luck!

1. 
In how many ways can 5 different books be arranged on a shelf?

2. 
A pizza place offers 8 toppings. How many different 3-topping pizzas can be made?

3. 
How many 4-digit numbers can be formed using the digits 1, 2, 3, and 4 if repetition is allowed?

4. 
A committee of 4 people is to be formed from a group of 10. How many different committees are possible?

5. 
How many ways can the letters of the word "MATH" be arranged?

6. 
How many ways can 6 people sit in a row if two specific people must sit together?

7. 
From a group of 7 men and 5 women, how many ways can a committee of 5 be formed if it must include at least 2 women?

8. 
How many ways can 6 people sit around a circular table?

9. 
How many distinct arrangements can be made from the letters of the word "MISSISSIPPI"?

10. 
A bag contains 6 red balls and 4 blue balls. How many ways can 3 balls be selected if at least 1 must be blue?

11. 
How many 5-digit numbers can be formed using the digits 0, 1, 2, 3, and 4 without repetition, and the number must be divisible by 5?

12. 
A class has 12 boys and 8 girls. How many ways can a team of 5 be formed with exactly 3 boys and 2 girls?

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