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

A 360
B 700
C 720
D 120

Correct Answer: 720

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.

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

Bissoy MCQ
#Permutations and Combinations #Quantitative Aptitude #Arithmetic Ability

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