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In how many different ways can the letters of the word DRASTIC be arranged in such a way that the vowels always come together?
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Explanation:
There are 7 letters in the word ‘DRASTIC’ including 2 vowels (A, I) and 5 consonants (D, R, S, T, C,).
Considering two vowels as one letter, we have 6 letters which can be arranged in 6! ways.
But corresponding to each way of these arrangements, the vowels can be put together in 2! ways.
Therefore, Total arrangements = 6!×2! = 1440