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Discrete Math: Miscellaneous
Sometimes discrete math problems draw on mathematics topics such as game
theory and number theory. The problems listed below include these and other
topics.
For background information elsewhere on our site, explore the
High School Discrete
Math area of the Ask Dr. Math archives. To find relevant
sites on the Web, browse and search
Discrete Mathematics
in our Internet Mathematics Library.
Access to these problems requires a Membership.

Addition in the Land of Make Believe
 Leigh Nataro

Discrete Math, difficulty level 3. For any base b, show that if you subtract the sum of its digits from a number, the result is divisible by b1.
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The Confession Letter
 Ethel Breuche

Discrete Math, difficulty level 1. Students are asked to decode the letter left by the murderer from last week's puzzle.
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Count to Ten?
 Leigh Nataro

Trig/Calc, difficulty level 3. Use the given clues to determine the base system for counting used by people of the planet Torus.
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The Dating Game
 Chuck Biehl

Discrete Math, difficulty level 5. This problem is based on the Stable Marriage Algorithm, which requires students to make the best match possible between a set of girls and a set of boys desiring to date each other.
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Fastball or Curveball?
 Leigh Nataro

Discrete Math, difficulty level 4. Using game theory, find the percentage of time a batter should guess a fastball will be thrown, and calculate the associated batting average.
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Roses, Roses, Roses
 Larry Sue

Discrete Math, difficulty level 1. Bob must bring his girlfriend roses to say he's sorry. Explore some of the ramifications of combining modular arithmetic and interpersonal relationships.
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The Take Away Game
 Leigh Nataro

Discrete Math, difficulty level 3. Find the strategy to guarantee that you will always win in this game.
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