### Home > CCG > Chapter Ch10 > Lesson 10.3.3 > Problem10-145

10-145.

Consider the following anagrams.

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

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

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

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

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

4. What makes these counts different?

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