n! = 10! 10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 10! = 3,628,800

Calculate (n - r)!:

(n - r)! = (10 - 6)! (10 - 6)! = 4! 4! = 4 x 3 x 2 x 1 4! = 24

Calculate 10P6:

_{10}P_{6} =

3,628,800

24

_{10}P_{6} = 151,200

Excel or Google Sheets formula:

=PERMUT(10,6)

What is the Answer?

_{10}P_{6} = 151,200

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 = _{n}P_{r} Number of combination(s) of n items arranged in r unique ways = _{n}C_{r} including subsets of sets This calculator has 2 inputs.

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

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 _{n}P_{r} = 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. _{n}P_{r} = n!/(n - r)!

permutations and combinations

Example calculations for the Permutations and Combinations Calculator