MAA MinuteMath: December 11, 2008

Thursday, December 11, 2008

December 11, 2008

Call a set of integers spacy if it contains no more than one out of any three consecutive integers. How many subsets of {1, 2, 3, . . . ,12}, including the empty set, are spacy?

Interactive version of problem and solution.

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Exercise your mind daily with a problem from the AMC-8, AMC-10, or AMC-12, provided by Mathematical Association of America's American Mathematics Competitions.

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Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.

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