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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

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a

37000

b

36000

c

34000

d

35000

answer is C.

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Detailed Solution

Total number of words that can be made using the word DAUGHTER IS 8!

Total number of words in which vowels are together =6!×3!

Number of words in which vowels are not together= 8!-6!3!=6!56-6=720×50=36000

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