14 Permutations of 4
Evaluate the following permutation
14P4
Permutation Definition:
An order or arrangement
Permutation Formula:
| nPr = | n! |
| (n - r)! |
where n is the number of items
r is the number of arrangements.
Plug in n = 14 and r = 4
| 14P4 2 | 14! |
| (14 - 4)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate n!:
n! = 14!
14! = 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
14! = 87,178,291,200
Calculate (n - r)!:
(n - r)! = (14 - 4)!
(14 - 4)! = 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 14P4:
| 14P4 = | 87,178,291,200 |
| 3,628,800 |
14P4 = 24,024
You have 1 free calculations remaining
Excel or Google Sheets formula:
Excel or Google Sheets formula:=PERMUT(14,4)What is the Answer?
14P4 = 24,024
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?
nPr=n!/r!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?
combinationa mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matternPr = n!/r!(n - r)!factorialThe product of an integer and all the integers below itpermutationa 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
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