Question

In how many different ways can you arrange the letters of the word INTERNET?

Answer 1

`5040`

Explanation:

Firstly there are `8` letters, so the permutation is `8!`

But then, there are `2` same letters of `'N'`, `2` same letters of `'T'` and `2` same letters of `'E'`, and so the permutation is `8!` must be divided by `(2!xx2!xx2!)` to eliminate the possibilities of getting the same words or codes twice ;

`=(8!)/(2! 2! 2!)`

`=40320/8`

`=5040`