Question

In how many ways the word optical be arranged so that the vowels should be come together

Answer 1

Let us assume the three letters in the word optical to be a single letter .

Now, we are left with 5 letters by assuming the 3 letters in the word optical to be a single letter.
These 5 letters can be arranged in 5! ways.
Also the 3 vowels can themselves be arranged in 3! ways.
Hence total number of required ways are =5!×3! = 720.
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