4 Permutations of 2
Evaluate the Following Permutation4P2Permutation Definition: an Order or arrangementPermutation Formula: nPr = N! (N - R)! Where N Is the Number of Itemsr Is...
Evaluate the following permutation
4P2
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 = 4 and r = 2
| 4P2 2 | 4! |
| (4 - 2)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate n!:
n! = 4!
4! = 4 x 3 x 2 x 1
4! = 24
Calculate (n - r)!:
(n - r)! = (4 - 2)!
(4 - 2)! = 2!
2! = 2 x 1
2! = 2
Calculate 4P2:
| 4P2 = | 24 |
| 2 |
4P2 = 12
Excel or Google Sheets formula:
=PERMUT(4,2)
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?
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
Example calculations for the Permutations and Combinations Calculator
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Sarah Jenkins is a veteran tech journalist with over 12 years of experience covering artificial intelligence, mobile innovations, and digital ethics. Her insights have appeared in leading technology publications worldwide.
