l 6 Permutations of 3

Enter n

Enter r

  

Evaluate the following permutation

6P3

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 = 6 and r = 3

6P3  2  6!
  (6 - 3)!

Factorial Formula:

n! = n * (n - 1) * (n - 2) * .... * 2 * 1

Calculate n!:

n! = 6!

Calculate (n - r)!:

(n - r)! = (6 - 3)!

(6 - 3)! = 3!

Calculate 6P3:

6P3  =  6 x 5 x 4 x 3!
  3!

6P3  =  6 x 5 x 4 x 3!
  3!

6P3 = 6 x 5 x 4

Final Answer


6P3 = 120