How many circular permutations can we have from 6 distinct objects?

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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

P_{n} = (n - 1)!

Plug in n = 6

P_{6} = (n - 1)!

P_{6} = (6 - 1)!

P_{6} = 5!

P_{6} = 5 x 4 x 3 x 2 x 1

P_{6} = 120

You have 2 free calculationss remaining

Excel or Google Sheets formula:

Excel or Google Sheets formula:=FACT(5)

What is the Answer?

P_{6} = 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?

What 4 concepts are covered in the Circular Permutation Calculator?

circular permutation

combination

a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter _{n}P_{r} = n!/r!(n - r)!

factorial

The product of an integer and all the integers below it

permutation

a way in which a set or number of things can be ordered or arranged. _{n}P_{r} = n!/(n - r)!

Example calculations for the Circular Permutation Calculator