How many permutations can we have of:
15 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 = 15
P15 = (n - 1)!
P15 = (15 - 1)!
P15 = 14!
P15 = 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
P15 = 87,178,291,200
Excel or Google Sheets formula:
Excel or Google Sheets formula:=FACT(14)What is the Answer?
P15 = 87,178,291,200
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?
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)!
