How many ways are there for 3 males and 4 females to sit (around a circular table) if no male should...
How many ways are there for 3 males and 4 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?
Answer/Solution
36
Steps/Work
So Mary has her own chair, fixed position. Other 3 females around the table can sit in 3! ways: the first to the left of Mary and the second to the right or vise-versa. Now, if 3 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 3! different ways, so total 3!*3!=36.
Answer B.
Answer B.