2 Permutations of 3
Publish date: 2024-04-21
2 Permutations of 3 
Evaluate the following permutation
2P3
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 = 2 and r = 3
| 2P3 2 | 2! |
| (2 - 3)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate n!:
n! = 2!
2! = 2 x 1
2! = 2
Calculate (n - r)!:
(n - r)! = (2 - 3)!
(2 - 3)! = -1!
-1! =
-1! = 1
Calculate 2P3:
| 2P3 = | 2 |
| 1 |
2P3 = 2
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Excel or Google Sheets formula:
Excel or Google Sheets formula:=PERMUT(2,3)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?
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
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