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Permutations and Combinations Calculator

Enter your n and r values below:

<-- Enter Number of Items (n)
<-- Enter Number of Arrangements (r)

  

How does the Permutations and Combinations Calculator work?

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?

  1. nPr=n!/r!
  2. 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

What are some example calculations for the Permutations and Combinations Calculator?

  1. 10 permutations of 6
  2. 5 combinations of 3
  3. 9 combination 4
  4. 8 combination 2
  5. 6 permutation 2
  6. 10 permutations of 5
  7. 6P3
  8. 7c4
  9. how many subsets of at least 3 elements can be formed from a set of 4 elements



Permutations and Combinations Calculator Video