How many ways are there for 3 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 correct answer:
A) 6	B) 12	C) 72	D) 100	E) 720
Lets first sit the 3 man, 2! ways.   Now since one position is fixed for women, there are 2 women left and they have 2! ways   2! X 2! = 4 answer is diff this way.   or shall we give possibility of 3 ways for women to be fixed with back facing so 3! ways, ANS:12
<result>B</result>
How many ways are there for 3 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?