# How many four letter words are possible using the first 5 letters of the alphabet if letters can not be repeated?

##### 2 Answers

If 'word' means any 4 letters in a given order, then it is 120.

#### Explanation:

Using the permutation function, we can see how many way there are to pick 4 things in a specific order out of 5 things. I'm not going to derive the formula here, but:

#### Explanation:

You can work out the number of possible 'words' by considering the number of choices available for each letter.

There are

Number of options =

Once the first letter is chosen, there will be

Number of options

Once the second letter is chosen, there will be

Number of options

Once 3 letters are chosen there are

Number of options