How many permutations can we have of:
12 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 = 12
P12 = (n - 1)!
P12 = (12 - 1)!
P12 = 11!
P12 = 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
P12 = 39,916,800
Excel or Google Sheets formula:
Excel or Google Sheets formula:=FACT(11)What is the Answer?
P12 = 39,916,800
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.
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
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
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