In how many ways can you arrange eight queens on a standard chessboard in such a way that none of them is attacking any other?
In how many ways can eight people, denoted [math]A,B, \ldots,H[/math] be seated about a square table that seats two people on each side such that two of the eight people, say [math]A[/math] and [math]B[/math], do not sit next to each other?