Question 80

In how many different ways can be letters of word SOFTWARE be arranged in such a way that the vowels always come together ?

Solution

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The word software can be split as
Vowels O A E
Consonants S F T W R
For Vowels to be together, lets consider O A E as one entity, so we have total 6 entities, 5 consonants and 1 block of vowels
These can be arranged in 6! ways. But there will also be internal arrangement among A E O. This will happen in 3! ways.
So total number of required ways = 6!*3! = 720*6 = 4320, Thus option 5

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