In how many ways can the letters of the word 'DAUGHTER' be arranged so that the vowels always come together?

4320

'DAUGHTER'

So, the number of words formed by these letters will be 6!

Number of vowels = ( a , e , u ) = 3

So, the arrangements of vowels will be 3!

Thus, the total number of words formed will be equal to (6!×3!) = 4320

The correct answer is Option (2) → 4320