In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Choices:
A) 728 ways	B) 735 ways	C) 767 ways	D) 723 ways	E) 720 ways
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 ways
<result>E</result>
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?