Henry Ernest Dudeney/Modern Puzzles/201 - Football Results

by : $201$

 * Football Results
 * The following table appeared in a newspaper:
 * $\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?