In how many ways can 3 men and 3 women be seated around a round table if each women is to be between 2 men.  Choose the correct choice from the following answers
A) 12 B) 14 C) 16 D) 18 E) 20
1-2-3-4-5-6-1 (assume this to be a closed circle)   Lets assume the position of the first man to be "fixed" at 1, then there are two remaining positions for the remaining two men: 3rd and 5th seat.   Number of ways of seating a man in 3rd seat = 2   As only one man is left, number of ways of seating a man in 5th seat is 1.   Number of ways that three men can be seated first at the round table = 1*2*1= 
<gadget id="calculator">1*2*1</gadget>
<output>2</output>
2   There are three remaining seats 2,4, and 6.   Number of options for 2= 3   Number of options for 4 = 2 (only 2 women are left)   Number of options for 6 = 1 (only 1 woman left)   i.e. The three women can be seated in 3! ways = 6   Total number of possibilities = 2*6= 
<gadget id="calculator">2*6</gadget>
<output>12</output>
12   12NS:12
<result>A</result>
In how many ways can 3 men and 3 women be seated around a round table if each women is to be between 2 men.