In how many ways can the letters of the word "CORPORATION" be arranged so that vowels always come together. Choose the correct choice from the following choices
A) 5760
B) 50400
C) 2880
D) None of above
E) 2487
Explanation:   Vowels in the word "CORPORATION" are O,O,A,I,O   Lets make it as CRPRTN(OOAIO)   This has 7 lettes, where R is twice so value = 7!/2!   = 2520   Vowel O is 3 times, so vowels can be arranged = 5!/3!   = 20   Total number of words = 2520 * 20= 
<gadget id="calculator">2520 * 20</gadget>
<output>50_400</output>
50400   Option 50400
<result>B</result>
In how many ways can the letters of the word "CORPORATION" be arranged so that vowels always come together.