l 10 Permutations of 6

Enter n

Enter r

  

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 4!
  4!

10P6 = 10 x 9 x 8 x 7 x 6 x 5

Final Answer


10P6 = 151,200