In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?	Choose the correct choice from the following answers
A) 720 ways
B) 735 ways
C) 767 ways
D) 723 ways
E) 730 ways
The word 'LEADING' has 7 different letters.   When the vowels EAI are always together, they can be supposed to form one letter.   Then, we have to arrange the letters LNDG (EAI).   Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.   The vowels (EAI) can be arranged among themselves in 3! = 6 ways.   Required number of ways = (120 x 6) = 720.   720 waysnswer:720 ways
<result>A</result>
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?