the Peg Game is played on a board that looks like the following:
Pegs can jump over other pegs adjacent to them, but must land in an open space. Once a peg has been jumped over, it is removed from the board. The object of the games is to end with only one peg left.
I wrote a program one time to calculate every combination to solve this puzzle. There are many solutions to this puzzle, no matter which position starts as the open space. I will try to find this program and post it here.