Henry Ernest Dudeney/Modern Puzzles/201 - Football Results
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Modern Puzzles by Henry Ernest Dudeney: $201$
- Football Results
- The following table appeared in a newspaper:
$\qquad \begin {array} {r | cccc |cc|c} & \text {Played} & \text {Won} & \text {Lost} & \text {Drawn} & \text {Goals For} & \text {Against} & \text {Points} \\ \hline \text{Scotland} & 3 & 3 & 0 & 0 & 7 & 1 & 6 \\ \hline \text{England} & 3 & 1 & 1 & 1 & 2 & 3 & 3 \\ \hline \text{Wales} & 3 & 1 & 1 & 1 & 3 & 3 & 3 \\ \hline \text{Ireland} & 3 & 0 & 3 & 0 & 1 & 6 & 0 \\ \hline \end{array}$
- It is known that Scotland had beaten England $3 - 0$.
- It is now possible to find the scores in the other five matches from the table.
- How many goals were won, drawn, or lost by each side in every match?
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Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Problems Concerning Games: $201$. -- Football Results
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Combinatorial & Topological Problems: Miscellaneous Combinatorial Puzzles: $452$. Football Results