In how many ways can the letters of the word " MEADOWS " be arranged so that the words. 1. Contain all the vowels together ? 2 Has no two vowels together ?

• Tot no of vowels=3
  No of methods dat vowels can rearrange amongst themselves = 3!
  Tot no of places these vowels together can occupy=5 ( 123,234,345,456,567)
  Now, tot no of ways in which consonants are ARBITRARILY chosen and arranged among themselves= 4!
  Therefore 1) 3!*4!*5=3!*5!(obviously)
  2) Case ( No Vowel Together)= Case( Total no of ways)-Case( All vowels together)
  Hence, ans= 7!-(3!*5!)
• 11 years agoHelpfull: Yes(0) No(0)