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:
10P6 =
3,628,800
24
10P6 = 151,200
Excel or Google Sheets formula:
=PERMUT(10,6)
What is the Answer?
10P6 = 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 = 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?
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
