In how many ways can the letters of the word, ‘KEYBOARD’ be arranged in such a way that the vowels always come together?
Pick:
A) 4250
B) 4520
C) 4320
D) 4230
E) 4530
In the word ‘KEYBOARD’ we treat the vowels EOA as one letter. Thus, we have KYBRD (EOA).   Thus we have 6 letters can be arranged in 6! = 720 ways   The vowels (EOA) can be arranged among themselves in 3! = 6 ways   Therefore, Required number of ways= (720*6)= 
<gadget id="calculator">(720*6)</gadget>
<output>4_320</output>
4320   ANSWER:4320
<result>C</result>
In how many ways can the letters of the word, ‘KEYBOARD’ be arranged in such a way that the vowels always come together?