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) 50400 B) 5040 C) 5004 D) 7007 E) 7004
In the word 'CORPORATION', we treat the vowels OOAIO as one letter.   Thus, we have CRPRTN (OOAIO).   This has 7 (6 + 1) letters of which R occurs 2 times and the rest are different.   Number of ways 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 x 20) = 50400.   50400NSWER 50400
<result>A</result>
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?