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

Step-by-step solution

DAUGHTER Total words =8 ! Total words in which vowels are together =6! 3! words in which all vowels are not together aligned & =8!-6! 3! & =6![56-6] & =720 50 & =36000 aligned Ans.(3)