How many ways are there for 2 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?	Choose the most appropriate option
A) 6  B) 12  C) 72  D) 4  E) 720
So Mary has her own chair, fixed position. Other two females around the table can sit in 2 ways: the first to the left of Mary and the second to the right or vise-versa. Now, if 2 males will sit between them then no two female or two male will sit next to each other (female-male-female-male-female-male). But these males on their spots can also sit in different ways, namely in 2! different ways, so total  2*2= 
<gadget id="calculator"> 2*2</gadget>
<output>4</output>
4   Answer 4.
<result>D</result>
How many ways are there for 2 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?