In how many ways can a group of 12 friends be seated round 2 tables if one of the tables can seat 8 and the other can seat 4 people?
Choose the correct answer:
A) 15C5 * 9! *4!
B) 15C3 * 8! *3!
C) 15C4 * 9! *3!
D) 15C2 * 10! *3!
E) 12C4 * 7! * 3!
8 people can be selected from 12 people in 12C8 ways.   Remaining 4 people can be selected from 4 people in 4C4 ways.   Now, arranging 8 people on a round table = (8-1)= 
<gadget id="calculator">(8-1)</gadget>
<output>7</output>
7!   Arranging 4 people on a round table= (4-1)= 
<gadget id="calculator">(4-1)</gadget>
<output>3</output>
3!   Hence, total number of ways= 12C8 * 7! * 4C4 * 3!   = 12C4 * 7! * 3!   12C4 * 7! * 3!
<result>E</result>
In how many ways can a group of 12 friends be seated round 2 tables if one of the tables can seat 8 and the other can seat 4 people?