In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
(a) 360 (b) 480 (c) 720 (d) 5040

• the word leading contains 7 different letters,when the vowels eai r always together they can be supposed to form 1 letter
  then we have to arrange ldng (eai)
  now,5 letters can be arranged in 5!ways=120 ways
  the vowels (eai)can be arranged in 3! ways=6ways
  required no of ways =120*6=720
  so ans is c
  
• 14 years agoHelpfull: Yes(32) No(1)
• total letters LDNG(EAI) are 5 now..
  5! = 120
  EAI can be arranged in 3! ways = 6
  
  total ways 120 x 6 =720
  ans: (c) 720
• 14 years agoHelpfull: Yes(7) No(2)
• LEADING has 3 vowels and rest consonants. vowels can be taken as one entity, so there are 5 entities to be arranged. 5P5 = 120
  vowels can be arranged in 3P3 ways = 6
  required words = 120*6 = 720
  
  ans is (C)
• 14 years agoHelpfull: Yes(5) No(1)
• except vowels A,E,I...we ve to arrange LDNG letters...LDNG can be arranged in 5!ways=120..and AEI can be arranged in 3! ways=6 so, (120*6)=720 is the
  answer
• 14 years agoHelpfull: Yes(5) No(4)
• 4+1(AEI)=5!
  AEI=3!
  5!*3!=720
• 14 years agoHelpfull: Yes(4) No(2)
• 720
  taking the vowel and consont apart
  ldng=4!+taking vowel together and considering as one so=5!=120
  now for 3 vowels=6
  
  6*120
• 14 years agoHelpfull: Yes(4) No(1)
• 5!*3!=720
  
• 14 years agoHelpfull: Yes(2) No(2)
• mr. karthik channapatna has given best answer of all
• 14 years agoHelpfull: Yes(2) No(5)
• 720,vowel-aei will be written in 3ways &rest will be 4ways
  
• 14 years agoHelpfull: Yes(1) No(0)
• ans is 720.
  e a i _ _ _ _ eai can be read as a single alphabet.hence total no of ways is 5!.
  now eai can be arranged in 3! ways
  hence toatal no of ways are 5! *3!
• 14 years agoHelpfull: Yes(1) No(1)
• ans is 5!*3!=120*6=720
• 9 years agoHelpfull: Yes(1) No(0)