Question 21
In how many different ways can the letters of the word AUCTION be arranged in such a way that the vowels come together?
Solution
In the word : AUCTION", we have 4 vowels, i.e. A, U, I and O; let's consider them as 1 unit.
=> In total, we have1 unit + C + T + N = 4 units, which can be arranged in 4! ways, and the vowels themselves can be arranged in 4! ways
=> Required number of total arrangements is 4! * 4! = 24 * 24 = 576.
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