In how many ways can a group of 11 friends be seated round 2 tables if one of the tables can seat 7 and the other can seat 4 people? Pick:
A) 11C6 * 9! *4!  B) 11C3 * 6! *3!  C) 15C4 * 9! *3!  D) 15C2 * 10! *3!  E) 16C5 * 10! *4!
7 people can be selected from 11 people in 11C7 ways.   Remaining 4 people can be selected from 4 people in 4C4 ways.   Now, arranging 7 people on a round table = (7-1)= 
<gadget id="calculator">(7-1)</gadget>
<output>6</output>
6!   Arranging 4 people on a round table= (4-1)= 
<gadget id="calculator">(4-1)</gadget>
<output>3</output>
3!   Hence, total number of ways= 11C7 * 6! * 4C4 * 3!   = 11C3 * 6! * 3!   11C3 * 6! *3!
<result>B</result>
In how many ways can a group of 11 friends be seated round 2 tables if one of the tables can seat 7 and the other can seat 4 people?