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In how many different ways can letters of the word SOFTWARE be arranged in such a way that the vowels always come together?
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Explanation:
There are 8 letters in the word ‘SOFTWARE including 3 vowels (O, A, E) and 5 consonants (S, F, T, W, R).
Considering three vowels as one letter, we have six letters which can be arranged in ^6P6=6! ways. But corresponding to each way of these arrangements, the vowels can be put together in 3! ways.
Required number of words = 6!×3! = 4320