How many different ways can you arrange the letters in the word "OPTICAL" so that the vowels always come together?
A. 120
B. 720
C. 4320
D. 2160
Answer:B
How many different ways can you arrange the letters in the word "OPTICAL" so that the vowels always come together?
A. 120 B. 720 C. 4320 D. 2160
Explanation: The word 'OPTICAL' has seven different letters in it.When the vowels OIA are constantly together, they are thought to make a single letter.The letters PTCL must then be arranged (OIA).5 letters can now be placed in 5! = 120 different ways.The vowels (OIA) can be placed in 3! = 6 different ways.The required number of ways is 720 (120 x 6).