In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together? Options: A . &nbsp120 B . &nbsp720 C . &nbsp4320 D . &nbsp2160 E . &nbspNone of these

In how many different ways can the letters of the word OPTICAL be arranged so th

Question

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

Answer: Option B

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.

The vowels (OIA) can be arranged among themselves in 3! = 6 ways.

So, Required number of ways = (120 x 6) = 720

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