Answer
Success!
10P6 = 151,200
↓Steps Explained:↓
Evaluate the following permutation
10P6
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 = 10 and r = 6
| 10P6 2 | 10! |
| (10 - 6)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate n!:
n! = 10!
Calculate (n - r)!:
(n - r)! = (10 - 6)!
(10 - 6)! = 4!
Calculate 10P6:
| 10P6 = | 10 x 9 x 8 x 7 x 6 x 5 x 4! |
| 4! |
| 10P6 = | 10 x 9 x 8 x 7 x 6 x 5 x |
10P6 = 10 x 9 x 8 x 7 x 6 x 5
Final Answer
10P6 = 151,200Take the Quiz
Related Calculators: Factorials | Multiplication Property Of Inequality | Multiplication Array