How many possible game scores can be bowled?
First, it seems evident that the total number of possible ten-pin bowling games is quite large. We have eleven possibilities for the first ball thrown in the first frame (gutter, 1, 2, ..., 9, strike), and the same possibilities occur for each of the other nine frames. So without even considering the second ball in each frame, at a minimum we have 11¹º = 26 billion possibilities. In fact, the true number of games is much, much larger due to the effect of the second ball in each frame. It's easy to show that the total number of possible games is 66^9 x 241 = 5,726,805,883,325,784,576 (about 6 billion billion, or 6 quintillion)!"
For further exceedingly useful information that won't at all help you bowl a strike check out this site:
http://www.balmoralsoftware.com/bowling/bowling.htm
First, it seems evident that the total number of possible ten-pin bowling games is quite large. We have eleven possibilities for the first ball thrown in the first frame (gutter, 1, 2, ..., 9, strike), and the same possibilities occur for each of the other nine frames. So without even considering the second ball in each frame, at a minimum we have 11¹º = 26 billion possibilities. In fact, the true number of games is much, much larger due to the effect of the second ball in each frame. It's easy to show that the total number of possible games is 66^9 x 241 = 5,726,805,883,325,784,576 (about 6 billion billion, or 6 quintillion)!"
For further exceedingly useful information that won't at all help you bowl a strike check out this site:
http://www.balmoralsoftware.com/bowling/bowling.htm