In how many ways can the letters of the word AEOGHYI be rearranged such that the vowels always appear together?
Choose the correct choice from the following options.
A) 254  B) 576  C) 476  D) 765  E) 398
AEOGHYI   AEOI will come together as a group which can be arranged in 4!=24ways.   AEOI, G,H,Ycan be arranged in 4!=24 ways.   total possible arrangements = 24*24= 
<gadget id="calculator">24*24</gadget>
<output>576</output>
576 ways   ANSWER:576
<result>B</result>
In how many ways can the letters of the word AEOGHYI be rearranged such that the vowels always appear together?