The number of words, which can be formed using all the letters of the word "DAUGHTER", so that all the vowels never come together, is :
(4) 36000
Never together = total - (all vowels together).
Total =8!=40320
Tie A, U, E into one block: 6 objects 6! 3!=4320
40320-4320=36000
Answer: (4)
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