59.In how many different ways can the letters of the word 'AUCTION' be arranged in such a way that the vowels always come together?
A. 30 B. 48
C. 144 D. 576
Answer:
The word Auction has 7 different letters.
When, the vowels AUIO are always together, they can be supposed to form one letter.
Then, we have to arrange the letters CTN (AUIO).
Now, 4 letters can be arranged in 4! = 24 ways.
The vowels (AUIO) can be arranged in 4!= 24 ways.
Required number of ways = (24 x 24)
= 576.
