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Byzantine Basketball

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Author:Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Description: A problem (with solution) sent by Prof. W. McWorter's: Byzantine Basketball is like regular basketball except that foul shots are worth a points instead of two points and field shots are worth b points instead of three points. Moreover, in Byzantine Basketball there are exactly 35 scores that never occur in a game, one of which is 58. What are a and b?

Levels: High School (9-12), Early College
Languages: English
Resource Types: Problems/Puzzles
Math Topics: Sports

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