In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together? Choose the correct choice from the following choices:
A) 680
B) 700
C) 720
D) 800
E) 820
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.   ANSWER : 720
<result>C</result>
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?