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

• if vowels are always together then EAI will always come together and we can treat them as one unit now remaining letters are LDNG these are 4 letters and one is EAI
  hence we have to arrange 5 letters that means we can arrange them in factorial(5)
  ways that is in 120 ways ,again the three vowels can be arranged in factorial(3) that is 6.hence total ways are 120*6=720
  hence answer is (c)720.
• 13 years agoHelpfull: Yes(25) No(2)
• 6!*3!=720
• 13 years agoHelpfull: Yes(5) No(12)
• 720
• 13 years agoHelpfull: Yes(3) No(4)
• 720
  
• 13 years agoHelpfull: Yes(1) No(1)