In how many ways can a group of 16 friends be seated round 2 tables if one of the tables can seat 10 and the other can seat 6 people?
Choose the correct choice from the following options:
A) 15C5 * 9! *4! B) 15C3 * 8! *3! C) 15C4 * 9! *3! D) 16C4 * 9! *5! E) 16C5 * 10! *4!
10 people can be selected from 16 people in 16C10 ways.   Remaining 6 people can be selected from 6 people in 6C6 ways.   Now, arranging 10 people on a round table = (10-1)= 
<gadget id="calculator">(10-1)</gadget>
<output>9</output>
9!   Arranging 6 people on a round table= (6-1)= 
<gadget id="calculator">(6-1)</gadget>
<output>5</output>
5!   Hence, total number of ways= 16C10 * 9! * 6C6 * 5!   = 16C4 * 9! * 5!   16C4 * 9! *5!
<result>D</result>
In how many ways can a group of 16 friends be seated round 2 tables if one of the tables can seat 10 and the other can seat 6 people?