Henry Ernest Dudeney/Modern Puzzles/168 - The Magisterial Bench
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Modern Puzzles by Henry Ernest Dudeney: $168$
- The Magisterial Bench
- A friend at Singapore asked me some time ago to give him my solution to this problem.
- A bench of magistrates consists of two Englishmen, two Scotsmen, two Welshmen, one Frenchman, one Italian, one Spaniard, and one American.
- The Englishmen will not sit beside one another, the Scotsmen will not sit beside one another, and the Welshmen also object to sitting together.
- Now, in how many different ways may the ten men sit in a straight line so that no two men of the same nationality shall ever be next to one another?
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Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Combination and Group Problems: $168$. -- The Magisterial Bench
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Combinatorial & Topological Problems: Miscellaneous Combinatorial Puzzles: $447$. The Magisterial Bench