Boxes and Balloons [solution]

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Take one balloon from the box labeled “blue and orange”. This tells you whether that box contains all blue balloons or all orange balloons.

Suppose it contained all blue balloons. Then the box labeled “orange” cannot contain all blue balloons. Also it can’t contain all orange balloons, so it must contain blue and orange balloons. Then, the box labeled “blue” must contain all orange balloons.

Posted: December 11, 2007
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