# How many different words using all letters of ZOONOOZ can be formed if there are no O's together?

##
How could you show this mathematically?

How could you show this mathematically?

##### 1 Answer

Write your answer here...

Start with a one sentence answer

Then teach the underlying concepts

Don't copy without citing sources

preview

?

#### Answer

Write a one sentence answer...

#### Answer:

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

Jun 19, 2018

#### Answer:

3

#### Explanation:

In the word ZOONOOZ, we have 7 letters with 4 Os and 2 Zs. We don't want any of the Os together.

Let's first notice that the only way to arrange the 4 Os are in places 1, 3, 5, 7. There's only 1 way to arrange them.

We then have the 2 Zs and the 1 N to arrange across 3 spots (places 2, 4, 6). If the three letters were all different, there'd be

Was this helpful? Let the contributor know!

Describe your changes (optional) 200