6,。 Penmsylvania Lottery Probabjlity played 4 role 1n the rigaing Ofthe April 24, 1980, PennsyIvania state lottery. To determine each digit ofthe three-di人(MT ning number, each of the numbers 0,1,2,...,29 wa35 Written on a Ping-Pong ball, the 10 balls were blowpn into a compartment, and the number seJected for the digit was the one on the ball that floats to the top of the Imachine. To alter the odds, the conspirators injected a liquid into all balls used in the game except those nuIm- bered 4 and 6, making it almost certain that the lighter balls would be selected and determine the digits in the Winning number. They then proceeded to buy 1ottery tickets bearing the potential winning numbers. How many potential winning numbers were there (666 was the eventual winner)?