n! = 12! 12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 12! = 479,001,600
Calculate (n - r)!:
(n - r)! = (12 - 5)! (12 - 5)! = 7! 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 7! = 5,040
Calculate 12P5:
12P5 =
479,001,600
5,040
12P5 = 95,040
Excel or Google Sheets formula:
=PERMUT(12,5)
What is the Answer?
12P5 = 95,040
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