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

• in CORPORATION total vowel are O,O,A,I,O
  so it can be written as CRPRTN(OOAIO)
  
  This has 7 letters
  R is twice so value = 7!/2!
  = 2520
  
  Vowel O is 3 times
  so vowels = 5!/3!
  
  = 20
  
  total words= 2520 * 20 = 50400
• 10 years agoHelpfull: Yes(3) No(0)
• C - 1 || Vowels - O,A,I
  O - 3 || => Taking vowels as one word, total words can be formed = 6!*(6!/3!)
  R - 2 ==> 720*120 = 86400
  P - 1
  A - 1
  T - 1
  I - 1
  N - 1
• 10 years agoHelpfull: Yes(0) No(1)