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

• here in the word LEADING,vowels are E,A,I.we want to arranged tat word such that vowels always comes together i.e in the form LDNG(EAI).So now word treated as a 5 alphabet word cause (EAI) treated as a single alphabet.
  5 alphabets in the word can be arranged in =!5=120 ways
  3 alphabets in(EAI) can be arranged in=!3=6 ways
  total no of ways of arrangement so that voweles always come together=120*6=720.
  so ans. is (c)
• 13 years agoHelpfull: Yes(23) No(2)
• the answer is 720 ways
• 9 years agoHelpfull: Yes(4) No(1)
• 5!*3!=720
  
• 9 years agoHelpfull: Yes(3) No(2)
• in the word LEADING, E,A,I are the vowels that we want vowels come to gather i.e.
  3 vowels can grouped in
  5 alphabets can be arranged in =5!=120 ways
  3 alphabets can be arranged in=3!=6 ways
  total no of ways vowels always come to gather=120*6=720 ways
  ans is : (c)
• 9 years agoHelpfull: Yes(2) No(3)
• in the word LEADING vowels are E,A,I and these are always come together so that the arrangement is
  LDNG(EAI) hence 5!
  vowels E,A,I has 3!
  answer=5!*3!=720
• 5 years agoHelpfull: Yes(0) No(0)
• 5! * 3! =720.
• 4 years agoHelpfull: Yes(0) No(0)