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 B) 850 C) 200 D) 365 E) 750
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.   720NSWER 720
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In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?