Answer
Success!
5P4 = 120
↓Steps Explained:↓
Evaluate the following permutation
5P4
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 = 5 and r = 4
| 5P4 2 | 5! |
| (5 - 4)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate n!:
n! = 5!
Calculate (n - r)!:
(n - r)! = (5 - 4)!
(5 - 4)! = 1!
Calculate 5P4:
| 5P4 = | 5 x 4 x 3 x 2 x 1! |
| 1! |
| 5P4 = | 5 x 4 x 3 x 2 x |
5P4 = 5 x 4 x 3 x 2
Final Answer
5P4 = 120Take the Quiz
Related Calculators: Factorials | Multiplication Property Of Inequality | Multiplication Array