Latest Assessment Aptitude Question SOLUTION: In how many ways can the letters of the word “DOUBLE” be arranged such that no two vowels are together. 6!-4! 6!-(4!3!) 3!4! 6!-3!

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(#M40164537) ASSESSMENT Category question Keep an EYE

In how many ways can the letters of the word “DOUBLE” be arranged such that no two vowels are together.


6!-4!
6!-(4!3!)
3!4!
6!-3!

Asked In Assessment chamalla hemani (6 years ago)

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soujanya naidu  (6 years ago)

Ans- Thought Process Sholud be like :

No.of Permutations with no two vowels together = Total no.of permutations of "DOUBLE" - No.of permutations with vowels always together.

So, total permutations = 6!
For no.of permutations with vowels always together , all three vowels should be considered as a single letter.
so no.of letters = 4
no.of permutations = 4!
Again the 3 vowels can be arranged among themselves in 3! ways.
so total ways = 4!3!
Finally required permutations = 6! - (4!3!)

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Anweshchelime  (6 years ago)

Ans-6!-(3!4!)
Three vowels in 3! Ways
Four consonant in 4! Ways
Total 6 alphabets in 6! Ways
No two are vowels together- 6!-(3!4!)

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