I just started building out a package to log individual stats on a frame-by-frame basis for smaller leagues. First step was to determine how many different ways there is to score a single frame, and how many ways to score the tenth frame.
I find 66 ways to score frames 1-9, and 241 ways to score the tenth.
Running the number with 66^9*241 shows that there is roughly 5,726,805,883,330,000,000 ways to score a single game of bowling.
Just to put the numer into scope, I'd like to make a program that would add up every permutation just to see how mnay ways there are to score say a 200 vs at 250, but even if I had a machine fast enough to calculate 1,000,000,000 full games every second, it would have to run for 181 years on end to do them all.
So, Anyone rolled them all yet?
