In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ?	Choose the correct choice from the following answers:
A) 58300	B) 60800	C) 55600	D) 50400	E) 45200
In the word 'CORPORATION', we treat the two vowels OOAIO as one letter. Thus,we have CRPRTN (OOAIO)   This has 7 letters of which R occurs 2 times and the rest are different.   Number of ways of arranging these letters= 7!/(2!)=2520.   Now 5 vowels in which O occurs 3 times and the rest are different, can be arranged in 5!/3!=20 ways.   Required number of ways =(2520*20)= 
<gadget id="calculator">(2520*20)</gadget>
<output>50_400</output>
50400.   Answer is 50400
<result>D</result>
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ?