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

• Consider EUAIO as one set say X.
  EUAIO can be arranged in 5! ways.
  DCTNX can be arranged in 5! ways.
  so total arrangements of the letters of the word EDUCATION be arranged so that the vowels always come together= 5!*5! = 120*120 =14400
• 12 years agoHelpfull: Yes(2) No(4)