# Chess Problem on Rook Placement [duplicate]

How many ways are there to put two black rooks on a 8x8 chessboard so that they don't attack each other? There are several ways that these two could be placed, and I am wondering how many amount of positions there are. Thank you for any contribution.

## marked as duplicate by Xander Henderson, mlc, Donald Splutterwit, José Carlos Santos, LeucippusOct 10 '17 at 0:19

• The first rook can be placed in $64$ ways, the second rook can be placed in $49$ ways, each configuration can be attained in $2$ ways ... $32 \times 49$. – Donald Splutterwit Oct 9 '17 at 19:32