# How do you write all possible selections of three letters that can be formed from the letters A, B, C, D, E, and F?

May 7, 2017

See a solution process below:

#### Explanation:

Assuming you can only use each letter once and if order matters:

You have 6 letters you can select for the first letter.

You then have 5 letters you can select for the second letter.

Finally, you have 4 letters you can select for the final letter.

Therefore the possibilities are:

$6 \times 5 \times 4 = 120$

There are 120 ways you can select three letters from 6, using each letter only once and where order matters.