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UKMT Junior Mathematical Challenge, 2024

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

Rovers, United, City and Wanderers played against each other once in a hockey tournament. The results table is shown on the right:

TeamWinDrawLossGoals forGoals againstRovers30050United02136City11144Wanderers01202\begin{array}{|l|c|c|c|c|c|}\hline \text{Team} & \text{Win} & \text{Draw} & \text{Loss} & \text{Goals for} & \text{Goals against} \\ \hline \text{Rovers} & 3 & 0 & 0 & 5 & 0 \\ \hline \text{United} & 0 & 2 & 1 & 3 & 6 \\ \hline \text{City} & 1 & 1 & 1 & 4 & 4 \\ \hline \text{Wanderers} & 0 & 1 & 2 & 0 & 2 \\ \hline \end{array}

What was the score in the match between Rovers and United?

(A) 3−13-1 (B) 3−03-0 (C) 2−12-1 (D) 2−02-0 (E) 1−01-0

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