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Enigmas and puzzles

By Ian Stewart   September 2007

The tiny state of Crambodia has only 12 inhabitants, and is governed by the Council of Twelve, which consists of all citizens and passes legislation only when at least 11 citizens vote in favour. Recently, the Council of Twelve was debating the distribution of wealth among Crambodia’s citizens.

“Fellow Crambodians,” said the poorest citizen, Penny Less, “it is manifestly inequitable that my total worth should be exactly one Crambodian doubloon, when the richest among us is worth more than 2,000 times as much!”

“I agree,” said the fourth richest citizen, Lotta Cash. “But what should we do to even things…

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