How many circular permutations can we have from distinct objects? Practice Problem
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How many permutations can we have of:
14 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 = 14
P14 = (n - 1)!
P14 = (14 - 1)!
P14 = 13!
P14 = 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
P14 = 6,227,020,800
You have 2 free calculationss remaining
Excel or Google Sheets formula:
Excel or Google Sheets formula:=FACT(13)
What is the Answer?
P14 = 6,227,020,800
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.
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