how many ways to arrange a word ORANGE in which vowels are not together

• orange-6!=720
  (aeo)rng-4!*3!=144(Taking a,e,o combinely as 1)(vowels come together)
  (aeo-1,r-2,n-3,g-4)
  no. of ways vowels not come together=720-144=576
• 9 years agoHelpfull: Yes(18) No(0)
• _ , R , _ , N , _ , G , _ = 3! for consonants
  and
  4 places for 3 vowels (o,e,a) = 4P3 ways
  so, total = (4P3)*3! = 144 ways in which vowels are not together
  
• 8 years agoHelpfull: Yes(3) No(1)
• 576 is ans
• 8 years agoHelpfull: Yes(2) No(0)
• 720-2^6=576
• 8 years agoHelpfull: Yes(1) No(0)
• 6!-4!*3!=576
• 8 years agoHelpfull: Yes(1) No(0)
• 6!-(4!*3!)=576
• 8 years agoHelpfull: Yes(1) No(0)
• vowels are not together= 6!- 4!*3!
  = 720-144
  = 576
• 8 years agoHelpfull: Yes(1) No(0)
• ORANGE = 6!
  NO OF VOWELS CAN ARRANGE ITSELF IN= 3! WAYS
  NO OF CONSONANTS LEFT =3
  NO OF WAYS IN WHICH VOWEL COME TOGETHER
  =
  ( NO OF CONSONANTS + TAKING SET OF VOWEL AS A WHOLE) * NO WAYS IN WHICH VOWEL CAN
  ARRANGE ITSELF
  = (3+1)! * 3!
  4!*3!
  144
  
  SO, NO OF WAYS IN WHICH VOWEL CANNOT ARRANGE ITSELF = 6! - 4!3!
  = 720 - 144
  = 576
  
• 8 years agoHelpfull: Yes(1) No(0)
• No. of ways in which orange can arrange is 6! =720
  no. of ways in which all vowel take together is = 4!*3!
  then the no. of ways in which vowel are not comes together is = total no of ways-no. ways comes together
  =>6!-4!*3!
  =>576
• 8 years agoHelpfull: Yes(1) No(0)
• 3! ways=24
  
• 9 years agoHelpfull: Yes(0) No(2)
• 36
  3 vowels can be arranged in odd positions in 6 ways
  and
  3 consonants can be arranged in even positions in 6 ways.
  
  so total 6*6= 36 ways
  
• 8 years agoHelpfull: Yes(0) No(3)
• 576 is ans
• 8 years agoHelpfull: Yes(0) No(0)
• Let ORANGE
  we hv one word , in that word 6 letter and no repetation
  6! = 720
• 8 years agoHelpfull: Yes(0) No(2)
• orange having a three vowels o,a,e
  for solving
  combine them into one (oae)rng
  now 4p4 = 4! =24
  and 3!=6
  so that 6*24 = 144
  this no. of occansion when they come together
  now total occurances are 6! = 36
  so we subtract total occurances by occurances where they come together
  144-36 =108
  
• 8 years agoHelpfull: Yes(0) No(2)