A) In how many ways can 36 different squirrels stand in a square? That is, four sides with nine squirrels on each side.
B) If there are 18 male squirrels and 18 female squirrels, in how many ways can these squirrels stand in a square if they must alternate in gender.
Both parts of this problem assume each squirrel is unique, just as if they were people.
I'm hoping someone can convince me that this is either correct or incorrect...
If you draw a picture of the initial square, you can see that no single squirrel holds a position on two sides of the square (i.e. no single squirrel is on a corner). Thus, there are indeed 36 unique positions on the intital square.