Henry Ernest Dudeney/Modern Puzzles/168 - The Magisterial Bench

by : $168$

 * 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?