

Place nine pennies in the above figure leaving space six empty. Jump coins as you would in checkers (over one coin into an empty space directly beyond), removing the coin jumped. Can you continue to jump and remove coins until you end up with only one coin on the board? The spaces are numbered so that you can record your solutions.
Extension: Leave a different space blank and try and end up with just one coin. Is it possible to solve this puzzle by leaving a different space empty each time? Explain you answer.