How many words are formed from DRAUGHTSLOTS of order of vowels do not change 7 no two vowels occupy consecutive places

• vowels : A U O
  _D_R_G_H_T_S_L_T_S_ here 3 vowels can be arranged in 8 ways without changing their order
  Remaining words can be arranged in 9! / 2 * 2 ways
  So total no. of words = (9!/4) * 8 = 2* 9!
• 9 years agoHelpfull: Yes(24) No(33)
• consonants can be arranged in 9!(2!*2!) ways and 3 vowels in 10 places in same order can be arranged in 10C3 ways
  So total words formed = 9!(2!*2!)*10C3
• 7 years agoHelpfull: Yes(5) No(0)
• Three vowels can arranged in 6 places as 4*3! ways.
  Except vowel all 9 number can be arranged as 9!/2!*2!
  Then multiply these two
• 9 years agoHelpfull: Yes(3) No(10)
• can anyone explain it correct answer ?the answer which is provided is wrong?
  
• 8 years agoHelpfull: Yes(2) No(4)
• 9!*(10C3)
  we can place 9 letters in any order in 9! ways & we have 10 places around 9 letters & we can choose any three of them to place 3 vowels
• 7 years agoHelpfull: Yes(1) No(2)