# How many three-letter sequences can be made from the letters in the word FORESAW?

##### 1 Answer

Mar 17, 2017

#### Answer:

210

#### Explanation:

We have 7 letters and we're going to grab 3 at a time to make a word. The order that we pick the 3 letters is important - WAS is different than SAW. And so we use the permutation calculation, the general formula is:

We can evaluate in a couple of different ways - one is by using a factorial table:

and the other is by breaking down the multiplication:

Either way, we arrive at 210