Question

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

Answer 1

poltical
optical
are some with those letters

Answer 2

The word 'OPTICAL' contains 7 different letters. When the vowels OIA are always together, they can be supposed to form one letter. Then, we have to arrange the letters PTCL (OIA). Now, 5 letters can be arranged in 5!=120 ways.

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