Enter your n and r values below:

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Evaluate the following permutation

6P2

Permutation Definition:

An order or arrangement

Permutation Formula:

nPr  =  n!
  (n - r)!

where n is the number of items
r is the number of arrangements.

Plug in n = 6 and r = 2

6P2  2  6!
  (6 - 2)!

Factorial Formula:

n! = n * (n - 1) * (n - 2) * .... * 2 * 1

Calculate n!:

n! = 6!

6! = 6 x 5 x 4 x 3 x 2 x 1

6! = 720

Calculate (n - r)!:

(n - r)! = (6 - 2)!

(6 - 2)! = 4!

4! = 4 x 3 x 2 x 1

4! = 24

Calculate 6P2:

6P2  =  720
  24

6P2 = 30




Excel or Google Sheets formula:

Excel or Google Sheets formula:=PERMUT(6,2)


What is the Answer?
6P2 = 30
How does the Permutations and Combinations Calculator work?
Free Permutations and Combinations Calculator - Calculates the following:
Number of permutation(s) of n items arranged in r ways = nPr
Number of combination(s) of n items arranged in r unique ways = nCr including subsets of sets
This calculator has 2 inputs.

What 2 formulas are used for the Permutations and Combinations Calculator?

nPr=n!/r!
nCr=n!/r!(n-r)!

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Permutations and Combinations Calculator?

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)!
permutations and combinations
Example calculations for the Permutations and Combinations Calculator
Permutations and Combinations Calculator Video

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