Outline Mathematics Logic Problems Who Has the Beard? Here's a problem to tackle:   "I've only met one of them," said Martha. "The guy with the beard. Which is he?" "You figure it out yourself," Clem replied. "Two of them are married, two have blue eyes, and two are clean-shaven. The bearded one has brown eyes. Doug's wife is Ken's sister, and the bachelor has the same color eyes as Joe. They're three great guys." Who had the beard? Solution Copyright © 1996-2008 Alexander Bogomolny                             Solution   "I've only met one of them," said Martha. "The guy with the beard. Which is he?" "You figure it out yourself," Clem replied. "Two of them are married, two have blue eyes, and two are clean-shaven. The bearded one has brown eyes. Doug's wife is Ken's sister, and the bachelor has the same color eyes as Joe. They're three great guys." Who had the beard? (In the applet below, click on the underlined omitted expressions. See what happens.) // formulations This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at http://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet. Do not forget to check your solution. References J. A. H. Hunter, Entertaining Mathematical Teasers, Dover Publications, 1983 Copyright © 1996-2008 Alexander Bogomolny

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