Permutations & Combinations in Algebra Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1 1. Which of the following circles would be considered a different arrangement?

Question 2 2. A couple wants to plant some shrubs around a circular walkway. They have seven different shrubs. How many different ways can the shrubs be planted?

Question 3 3. Suppose you have a circular arrangement of three items. If the circle is free, in how many ways can the items be arranged?

Question 4 4. Which of the following words means that a circle cannot be flipped over when determining the number of different possible arrangements of items?

Question 5 5. Six people are going to sit at a round table. How many different ways can this be done?

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Question 6 6. Solve 8! (factorial)

Question 7 7. Solve the expression 5P4 (P = permutation )

Question 8 8. Solve the expression 7P2 (P = permutation)

Question 9 9. Jimmy is making multi-flavored ice cream cones by scooping in different flavors one at a time. Jimmy has 6 different flavors but can only put 3 flavors in each cone. The order of the flavors is important to him as it affects how he tastes each ice cream. How many different arrangements of cones can Jimmy make?

Question 10 10. Jane is attempting to unlock her locker but has forgotten her locker combination. The lock uses 3 numbers and includes only the numbers 1 to 9. Each of the digits also can not be repeated in the combination. How many possible locker combinations can be formed?

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Question 11 11. Suppose you can choose from 3 different shirts, 2 pairs of pants, and 5 pairs of shoes. Use the fundamental counting principle to find out how many different outfit combinations you can make.

Question 12 12. Suppose 10 horses are in a race. How many different ways can the horses be arranged (finishing orders)?

Question 13 13. If you have a combination lock that consists of three numbers, and each number in the combination has 10 options (the digits 0 to 9), how many combinations can you create?

Question 14 14.

How many ways can you create a workout (exercise) plan if you have to choose one each from:

10 flexibility exercise

5 lower body exercises

7 upper body exercises

Question 15 15. Find the situation in which you could NOT use the fundamental counting principle.

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Question 16 16. Solve the following combination:

Question 17 17. Calculate 4! (factorial)

Question 18 18. Solve the following combination:

Question 19 19. Solve 8! (factorial)

Question 20 20. The local bowling team plays in a 7-team league where each team plays other teams 4 times in a season. How many different games will be played in a season?

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Question 21 21. Assume you are at an ice cream shop and you order a bowl of ice cream with 3 scoops. There are 8 flavors to choose from. How many different bowls of ice cream can you have?

Question 22 22. How many distinct ways are there to arrange the letters in the word LIGHT?

Question 23 23. If we are asked to find how many ways there are to make a 5-digit lock code, is repetition allowed?

Question 24 24. If we are asked how many 5 digit lock codes we can make, are we dealing with permutations or combinations?

Question 25 25. Suppose you are making some soup. You have 7 types vegetables in front of you (one serving of each) and you want to include 4 of them in your soup (each being different). How many ways are there to do this?

Permutations & Combinations in Algebra Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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