# How do you calculate permutations of a word?

##### 1 Answer

For the first part of this answer, I will assume that the word has no duplicate letters.

To calculate the *amount* of permutations of a word, this is as simple as evaluating

To write out all the permutations is usually either very difficult, or a very long task. As you can tell, 720 different "words" will take a long time to write out. There are computer algorithms and programs to help you with this, and this is probably the best solution.

The second part of this answer deals with words that have repeated letters. One formula is

where

I will go through two more examples, but I will ignore every instance of

For the word "committee":

Permutations:

For the word "cheese":

Permutations: