Q.

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          [2025]

1 34000  
2 36000  
3 37000  
4 35000  

Ans.

(2)

Number of words in which vowels never come together

= Total number of words – Number of words in which vowels come together

=8!6!×3! = 36000