7 Permutations of 4
Isabella Little updates
Evaluate the following permutation
7P4
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 = 7 and r = 4
| 7P4 2 | 7! |
| (7 - 4)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate n!:
n! = 7!
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
7! = 5,040
Calculate (n - r)!:
(n - r)! = (7 - 4)!
(7 - 4)! = 3!
3! = 3 x 2 x 1
3! = 6
Calculate 7P4:
| 7P4 = | 5,040 |
| 6 |
7P4 = 840
Excel or Google Sheets formula:
=PERMUT(7,4)
What is the Answer?
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?
- 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
