How many words can be formed by using all the letters of the word “DAUGHTER” so that vowels always come together?
a. 1320
b. 1540
c. 4320
d. 4540

• Ans is : 4320
  =AUE | DGHTR
  =6!*3!
  =720*6=4320
• 10 years agoHelpfull: Yes(39) No(0)
• D,G,H,T,R,(A,U,E)=6!
  3 vowels can be arranged in 3! ways
  ans = 6!*3!=720*6=4320
• 10 years agoHelpfull: Yes(2) No(0)
• DGHTR(AUE)
  TREAT ALL VOWELS AS ONE LETTER THEN NUM OF LETTERS ARE 6
  6C6=6!=720
  POSSIBLE WORDS FORMED BY 3 VOWELS ARE
  3C3=3!=6
  THEREFORE REQUIRED NUMBER OF WORDS =720*6=4320
  SO ANSWER IS 'C'
  
  
• 10 years agoHelpfull: Yes(2) No(0)
• 6! * 3! = 4320
• 10 years agoHelpfull: Yes(1) No(0)
• ALL VOWEL together=3!=6
  remaning letters are DGHTR
  so
  there 6 letter =6! *3!=4320
  
• 10 years agoHelpfull: Yes(1) No(0)
• 6!*3!=4320
• 10 years agoHelpfull: Yes(1) No(0)
• 6! * 3! ways.
  which is 4320 ways
• 10 years agoHelpfull: Yes(1) No(0)
• c. 4320
  6!*3!
• 10 years agoHelpfull: Yes(0) No(0)
• aue | dgtr
  6! * 3!
  4320
• 10 years agoHelpfull: Yes(0) No(0)
• DAUGHTER
  D G H T R(AUE)
  6!*3!=4320
• 10 years agoHelpfull: Yes(0) No(0)
• ans-there is 3 vowels.. so the can arrange in 3! ways..now takng the vowels together we hav 5 consonant.
  now so they can arrange in 6! ways.. so the word can arrange in 6!*3!=4320 ways
• 10 years agoHelpfull: Yes(0) No(0)
• Ans:4320
  Total leters 8 but 3 vowels take as 1 leter
  Now total letters are 5+1=6
  it is 6!
  and 3 vowels 3! ways
  total 6!*3!=4320
  
• 10 years agoHelpfull: Yes(0) No(0)
• c.430
  
  taking vowels as one letter no of letters = 6 =>no of words formed =6! =720
  
  three vowels = 3!= 6
  
  total words formed =6!*3! =4320
• 10 years agoHelpfull: Yes(0) No(0)
• ans-4320
  3!*6!=4320
• 10 years agoHelpfull: Yes(0) No(0)
• DAUGTHTER
  DGHTR =6!,(AUE)=3!
  6!*3!=4320
• 10 years agoHelpfull: Yes(0) No(0)
• correct ans. 4320
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• 6!*3!=4320
• 10 years agoHelpfull: Yes(0) No(0)
• Answer will be 6!*3!=4320
  that is option c
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• 6!*3!=4320
  
• 10 years agoHelpfull: Yes(0) No(0)
• the answer is 4320
  
• 10 years agoHelpfull: Yes(0) No(0)
• (8-3+1)! * 3!= 6! * 3!=720 * 6= 4320
• 9 years agoHelpfull: Yes(0) No(0)
• Total no. of ways=6!*3!=4320
• 9 years agoHelpfull: Yes(0) No(0)
• ans:1320
  "DAUGHTER"
  {A E U}D G H T R
  in the above braces are vowel i.e A E U it can be formed in 3 ways i.e 3!=6
  |A E U|D G H T R (i.e A E U is consider as single letter)it formed single 6 letter i.e 6!=720
  then 720*6=1320
• 9 years agoHelpfull: Yes(0) No(0)
• VOWELS should be together
  so we can can take "Doughter " as a combination of 3 vowels(o,u,e) as 1 unit and 5 consonents (d,g,h,t,r ) as 5 units
  hence total no of alphabets now become 6
  there number of ways of arranging 6 letters=6!
  but the 3 vowels can also interchange there position in 3! ways
  hence the answer is 6!*3!=4320
  
• 9 years agoHelpfull: Yes(0) No(0)
• 4320 we have totao=8letters in it 3 vowel and 5 consonent (5+1)
  COME TOGTHER=6!*3!=4320
• 9 years agoHelpfull: Yes(0) No(0)
• c. 4320
  because 6!*3!
• 9 years agoHelpfull: Yes(0) No(0)
• 4320 is right answer
• 9 years agoHelpfull: Yes(0) No(0)
• 4320=6!*3!
• 9 years agoHelpfull: Yes(0) No(0)
• make consonants and vowels seperate DGHTR (AUE) now ways of arranging consonants is factorial 6 which is 720 and arrangements for vowels is factorial 3 we get the answer as 720* 6=4320.
  
• 9 years agoHelpfull: Yes(0) No(0)
• 6! * 3!=4320
  
• 8 years agoHelpfull: Yes(0) No(0)
• 720*6=4320
  
• 8 years agoHelpfull: Yes(0) No(0)
• dghtr and aue=6!*3!=4320
• 8 years agoHelpfull: Yes(0) No(0)
• 4320
  3!*6!
• 6 years agoHelpfull: Yes(0) No(0)
• DAUGHTER
  AUE | DGHTR
  =6!*3!
  =720*6=4320
• 6 years agoHelpfull: Yes(0) No(0)
• c. 4320
  
  6! * 3! = 4320
• 6 years agoHelpfull: Yes(0) No(0)