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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?

A.    360
B.    480
C.    720
D.    5040
E.    None of these

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Answer: Option C


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.
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