A classic counting problem is to determine the number of different ways that the letters of "misspell" can be arranged. Find that number.

10,080 different ways that the letters of "misspell" can be arranged.

Step-by-step explanation:

Number of arrangents of the letters of a word:

A word has n letters.

The are m repeating letters, each of them repeating times

So the number of distincts ways the letters can be arranged is:

In this question:

Misspell has 8 letters, with s and l repeating twice.

So

10,080 different ways that the letters of "misspell" can be arranged.