In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

A. 810 B. 1440
C. 2880 D. 50400
E. 5760

• D. 50400
  
  Vowels comes together... OOAIO... It has 5! / 3! = 20 permutations... Let this be V. Now, we have CRPRTNV... Total permutations in here = 7! / 2! = 2520
  
  Total arrangements = 20 * 2520 = 50400
• 13 years agoHelpfull: Yes(22) No(4)
• Answer: D.
  The words can be formed like (OOAIO)CRPRTN and thus it becomes 7 letters so 7!. Then there is 5 vowels so 5!. The repeations in vowels is 3 letters so divided it by 3! and repeations in the other number is 2!.
  Then (7!*5!)/(3!*2!)=50400.
• 12 years agoHelpfull: Yes(16) No(1)
• ans: 50400
  
  7!*5! / 2!*3!
• 12 years agoHelpfull: Yes(1) No(2)
• (CPTNRR)(AIOOO) =7!*5!/2!*3!
  =50400
  
• 12 years agoHelpfull: Yes(1) No(2)