Henry Ernest Dudeney/Puzzles and Curious Problems/315 - Arranging the Dominoes
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Puzzles and Curious Problems by Henry Ernest Dudeney: $315$
- Arranging the Dominoes
- The number of ways the set of $28$ dominoes may be arranged in a straight line, in accordance with the original rule of the game,
- left to right and right to left, in any arrangement counting as different ways,
- is $7 \, 959 \, 229 \, 931 \, 520$.
- After discarding all dominoes bearing a $5$ or a $6$, how many ways may the remaining $15$ dominoes be so arranged in a line?
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Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Crossing River Problem, and Problems Concerning Games and Puzzle Games: $315$. -- Arranging the Dominoes
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Domino Puzzles: $493$. Arranging the Dominoes