# Math Help - Arranging letters...

1. ## Arranging letters...

Hey I need help with this seemingly easy question with arranging letters:

Q1) How Many ten-letter words can be formed from the letters of PARRAMATTA? How many nine-letter words? How many 8-letter words?

Thanks

4. The very first result from google is

this

It gives the equation $\frac{n!}{n_1!n_2!...n_k!}$ where $n$ is the length of the word, $n_1$ is the number of times the first letter is in the word, and so on...

So for PARRAMATTA its $\frac{10!}{4!2!2!}$

5. Hey sorry, I understand how to do it for ten letter words. That is, the number of annograms for the word. However I dont understand how to the rest of the quetion. 9 letter words and then 8 letter words from the original 10 letter word PARRAMATTA.

6. There are 5 different letters in the word. Dump one of one type and repeat the above process for 9 letters. Then dump one of a different type...

For 8 letters, think of what you would be left with if you got rid of PA, then PR, then PM...