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

A. 120

B. 720

C. 4320

D. 2160

E. None of these

Answer: Option B

Solution(By Examveda Team)

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.
Therefore Required number of ways = (120 x 6) = 720

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Comments ( 1 )

  1. Mayzie Jones
    Mayzie Jones :
    1 year ago

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

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