There are 1 solutions to the 1 queens problem. There are 0 solutions to the 2 queens problem. There are 0 solutions to the 3 queens problem. There are 2 solutions to the 4 queens problem. There are 10 solutions to the 5 queens problem. There are 4 solutions to the 6 queens problem. There are 40 solutions to the 7 queens problem. There are 92 solutions to the 8 queens problem. There are 352 solutions to the 9 queens problem. There are 724 solutions to the 10 queens problem. There are 2680 solutions to the 11 queens problem. There are 14200 solutions to the 12 queens problem.