l 6 Permutations of 2

Enter n

Enter r

  

Answer
6P2 = 30

↓Steps Explained:↓



Evaluate the following permutation

6P2

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 = 2

6P2  2  6!
  (6 - 2)!

Factorial Formula:

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

Calculate n!:

n! = 6!

Calculate (n - r)!:

(n - r)! = (6 - 2)!

(6 - 2)! = 4!

Calculate 6P2:

6P2  =  6 x 5 x 4!
  4!

6P2  =  6 x 5 x 4!
  4!

6P2 = 6 x 5

Final Answer

6P2 = 30

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