In how many different ways can the letters of the word 'AIRPORT' be arranged in such a way that the vowels always come together? Choices:
A) A)360  B) B)720  C) C)480  D) D)5040  E) of these
The word 'AIRPORT' has 7 different letters.   When the vowels AIO are always together, they can be supposed to form one letter.   Then, we have to arrange the letters RPRT (AIO).   Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.   The vowels (AIO) can be arranged among themselves in 3! = 6 ways.   Required number of ways = (120 x 6) = 720.   ANSWER:720
<result>B</result>
In how many different ways can the letters of the word 'AIRPORT' be arranged in such a way that the vowels always come together?