Enter your n value below:


How many permutations can we have of:

6 distinct items arranged around a circle?

Circular Permutation:

Take n distinct permutations

Arrange them around a circle

Circular Permutation Formula

Pn = (n - 1)!

Plug in n = 6

P6 = (n - 1)!

P6 = (6 - 1)!

P6 = 5!

P6 = 5 x 4 x 3 x 2 x 1

P6 = 120

You have 2 free calculationss remaining

Excel or Google Sheets formula:

Excel or Google Sheets formula:=FACT(5)

What is the Answer?
P6 = 120
How does the Circular Permutation Calculator work?
Free Circular Permutation Calculator - Calculates the following:
Number of ways to arrange n distinct items arranged on a circle
This calculator has 1 input.

What 1 formula is used for the Circular Permutation Calculator?


For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Circular Permutation Calculator?

circular permutation
a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
nPr = n!/r!(n - r)!
The product of an integer and all the integers below it
a way in which a set or number of things can be ordered or arranged.
nPr = n!/(n - r)!
Example calculations for the Circular Permutation Calculator

Circular Permutation Calculator Video


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