the letters forming the name CLINTON are placed at random in a row. What is the chance that the two vowels come together

• words formed by letters of word CLINTON where tho vowels are together is 2*6!/2!= 6!
  Total possible words formed by letters of word CLINTON = 7!/2!
  
  chance that the two vowels come together = 6!/(7!/2) = 2/7
• 12 years agoHelpfull: Yes(5) No(0)
• ans :720
  
  The word 'CLINTON' has 7 different letters.
  
  When the vowels IO are always together, they can be supposed to form one letter.
  
  Then, we have to arrange the letters CLNTN (IO).
  
  Now, 6 (5 + 1 = 6) letters of which N occurs 2 times ,so(6!/2!)=360 ways
  
  The vowels (IO) can be arranged among themselves in 2! = 2 ways.
  
  Required number of ways = (360*2) = 720.
• 12 years agoHelpfull: Yes(3) No(1)
• Here the question is of PROBABILITY. it is NOT asking of the no. of times when vowels are together but the CHANCES in which they are together.
• 12 years agoHelpfull: Yes(2) No(2)
• ANS is 360
  
  letter formed by CLINTON word where tho vowels are together is 6!/2! * 2! = 360
  here divided by 2! because we have N two times
• 12 years agoHelpfull: Yes(1) No(3)
• ans :720
  
  The word 'CLINTON' has 7 different letters.
  
  When the vowels IO are always together, they can be supposed to form one letter.
  
  Then, we have to arrange the letters CLNTN (IO).
  
  Now, 6 (5 + 1 = 6) letters of which N occurs 2 times ,so(6!/2!)=360 ways
  
  The vowels (IO) can be arranged among themselves in 2! = 2 ways.
  
  Required number of ways = (360*2) = 720.
• 12 years agoHelpfull: Yes(1) No(1)
• 240 ways
  i,o are two vowels together can be placed in 2 ways i.e io are oi
  and remaining 5 in 5!ways
  5!*2=120*2=240
• 12 years agoHelpfull: Yes(0) No(4)