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In how many different ways can the word "football" be rearranged such that all of the vowels are put together?

 Jan 8, 2020
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The vowels  "ooa"   can be  arranged  in 3 identifiable ways

 

And they can appear  in 6 possible places within our created "words"

 

And for each of these, the other letters can be arranged in  ( 5! / 2 )   identifiable ways  =  60 ways

 

So....the  number  of ways  =  

 

3 * 6  * 60   =

 

18 * 60  =

 

1080  ways

 

 

cool cool cool

 Jan 8, 2020

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