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Find the circular permutation for 5 things taken 5 at a time.

User Shir Gans
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2 Answers

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It is 4! = 24

Think of it as a row permutation 5! divided by 5 because the circle design makes 5 different row arrangements all the same, et cetera.

Hope this helps :)
User Jan Hecking
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2 votes

Answer:

24.

Explanation:

We are asked to find the circular permutation for 5 things taken 5 at a time.

We will use circular permutation formula to solve our given problem.

The number of ways to arrange n distinct objects along a fixed circle is :
P_n=(n-1)!.

Upon substituting our given values in above formula we will get,


P_5=(5-1)!


P_5=4!


P_5=24

Therefore, circular permutation for 5 things taken 5 at a time is 24.

User Comamitc
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6.2k points