## Problem of the Week

**Special Subsets**

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A subset of the integers 1, 2,..., 100 has the property that none of its members is 3 times another. What is the largest number of members such a subset can have?

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__AHSME, 1990__)-------2/5/07-------

A subset of the integers 1, 2,..., 100 has the property that none of its members is 3 times another. What is the largest number of members such a subset can have?