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

 Dec 16, 2019
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f t b l l         o o a

There are 3 ways to arrange the vowels with each other.

there are 5!/2! = 3*4*5 = 60 ways to arrange the consonants with respect to each other

 

There are 6 positions that the vowels can go

 

so that is

 

60*3*6 = 1080 ways     

 

That is what I get anyway. 

 Dec 16, 2019

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