Question

How many three letter permutations can be formed from the first five letters of the alphabet?

Answer 1

Answer is 60, got it correct on a math final.

Answer 2

There are 60 permutations that can be formed from the first five letters of the alphabet.

Explanation:

The number of three letter permutations that can be formed from the first five letters of the alphabet is
`5P_(3)`.

`5P_(3) =(5!)/((5-3)!)`

`=(5!)/(2!)`

= 60

Hence, there are 60 permutations that can be formed from the first five letters of the alphabet.