### Home > INT2 > Chapter 12 > Lesson 12.2.2 > Problem12-79

12-79.
1. Consider the following rearrangements of letters. 12-79 HW eTool (Desmos). Homework Help ✎

1. In how many distinct ways can the letters in the word ITEMS be arranged?

2. In how many distinct ways can the letters in the word STEMS be arranged?

3. In how many distinct ways can the letters in the word SEEMS be arranged?

4. What makes these counts different?

A word with no repeated letters can be handled using a single factorial.

$\frac{5!}{2!2!} = 30$

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