Circular Permutation: Formula & Examples


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question 1 of 3

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

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1. 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?

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

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About This Quiz & Worksheet

This quiz allows you to check your knowledge of circular permutations and apply what you know. Questions will ask you to solve problems involving circular permutations.

Quiz & Worksheet Goals

You will demonstrate an understanding of:

  • How to use the circular permutation formula
  • Definitions of types of circles
  • Identification of different kinds of circular arrangements

Skills Practiced

Questions require you to use the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on circular permutations
  • Problem solving - use acquired knowledge to solve circular permutation formula practice problems
  • Knowledge application - use your knowledge to answer questions about which types of circles can be flipped over while determining arrangements

Additional Learning

The lesson associated with this quiz, titled Circular Permutation: Formula & Examples, will teach you more about this subject. Read to continue learning about:

  • Exactly why the order of items matters
  • Effects of grouping items in a circular pattern
  • Determining and using the circular permutation formula
  • Differences between free and fixed circles