Monday, December 6, 2010

Football Math

So I'm sitting here at Giants Stadium, waiting for my Redskins to take the field. Thinking about the numbers in football. Like all sports it's full of statistics.
Football scores are quite complex. Six points for touch down. One point for the extra point after a touch down. Or, you could run the ball in after a touchdown for two points. Then of course there is the three points for a field goal. Finally, the saftey for two points. 6, 3, 2, 2, 1.
So I'm thinking, what kinds of numbers can the final score be? Could it be prime? What about square or cubic? What would the score look like written in Binary?
Well, I suspected the Redskins would lose. They have a lot of players out with injuries in key places and the quarterback has been struggling. That, with the fact that the Giants have been doing very well lately.
So the final score was 7-31. Both prime numbers. How many different ways could these scores have been achieved using the posibilities given above?

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