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!

• 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!)
• 6 years agoHelpfull: Yes(2) No(0)
• 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!)
• 6 years agoHelpfull: Yes(0) No(0)