Latest MBA Aptitude Question SOLUTION: How many words can be formed from the letters of the word 'DAUGHTER' so that the vowels never come together ?the answer seems obvious 8!-6!3!but if we ponder from a different persp

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(#M40016086) MBA question permutations and combinations, probability Keep an EYE

How many words can be formed from the letters of the word 'DAUGHTER' so that the vowels never come together ?the answer seems obvious 8!-6!3!but if we ponder from a different perspective, that is taking 5consonants first and arranging them (5! ways of doing that) and thenplacing the 3 vowels in the 6 places created due to the arrangement ofconsonants (6P3 ways to do that), the answer should be 5!*6P3...........Figure out the flaw in the reasoning.... if at all, for this doesn't lead to the right answer....

1) 36000
2) 14400
3) 41000
4) 36900

Asked In MBA (12 years ago)

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