How many permutations can we have of:

5 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 = 5

P5 = (n - 1)!

P5 = (5 - 1)!

P5 = 4!

P5 = 4 x 3 x 2 x 1


P5 = 24


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Excel or Google Sheets formula:

Excel or Google Sheets formula:=FACT(4)

What is the Answer?
P5 = 24
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?
Pn=(n-1)!
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
nPr = 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.
nPr = n!/(n - r)!
Example calculations for the Circular Permutation Calculator
Circular Permutation Calculator Video

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