In how many different ways can the letters of the word 'TAKING' be arranged in such a way that the vowels always come together?
Choices:
A) A)360 B) B)480 C) C)720 D) D)5040 E) of these
The word 'TAKING' has 6 different letters.   When the vowels AI are always together, they can be supposed to form one letter.   Then, we have to arrange the letters TKNG (AI).   Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.   The vowels (EAI) can be arranged among themselves in 2! = 2 ways.   Required number of ways = (120 x 2) = 360.   360NSWER:360
<result>A</result>
In how many different ways can the letters of the word 'TAKING' be arranged in such a way that the vowels always come together?