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 - 5)! (10 - 5)! = 5! 5! = 5 x 4 x 3 x 2 x 1 5! = 120
Calculate 10P5:
10P5 =
3,628,800
120
10P5 = 30,240
Excel or Google Sheets formula:
=PERMUT(10,5)
What is the Answer?
10P5 = 30,240
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
