In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?

• There are 5 vowels and 4 consonants so total no of methods on the basis of given conditions are (5*4*3*2*1)*(4*3*2*1) = 120*24 = 2880
  rearrangment =2880-1=2879
• 10 years agoHelpfull: Yes(4) No(5)
• 5 vowels, 4 consonants in the word EDUCATION.
  5 vowels can be placed at 5 different places, and 4 different consonants can be placed at 4 different places.
  so 1st vowels can be placed at the following places means 5 choices it has _D_C_T_ _N
  then 2 nd vowel has 4 choices, n 3rd will have 3 choices,
  same for consonants,
  so letters that can be formed are 5!*4!
  120*24
  2880
• 8 years agoHelpfull: Yes(3) No(0)
• here there are 5 vowels and 4 consonants so
  4 vowels + 1 pack of vowels
  5 letters
  inside the pack of vowels it can come in 5! ways
  so 5!*5! will be the answer
• 9 years agoHelpfull: Yes(1) No(3)