Question
In how many different ways can the letters of the word `AUCTION` be arranged in such a ways that the vowels come together ?
Answer: Option D
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The word `AUCTION` has 7 different letters.
When the vowels AUIO are always together , they can be supposed to form one letter.
Then, we have to arrange the letters CTN(AUIO)
Now , 4 letters can be arranged in 4! = 24 ways
The vowels (AUIO) can be arranged among themselves in 4! = 24 ways.
`:.` Required number of ways = (24 x 24) = 576.
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