In how many ways can the letters of the word "DOUBLE" be arranged such that no two vowels are together??

1) 6!-4!
2) 6!-4!3!
3) 3!4!
4) 6!-3!

• 6!-4!*3!
  720-144
  ans=576
• 10 years agoHelpfull: Yes(1) No(0)
• Tot no of ways in which it can double can be arranged is 6!
  Case( No Vowel Together)=Case( Tot ways) -Case( All vowel together)
  For all vowels together, we have 3! arrangements ( 3 vowels) and these 3 can fill 4 places( 123, 234, 345, 456)
  Hence, soln= 6!-4*3!
  = 6!-4!
• 10 years agoHelpfull: Yes(1) No(2)