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IMSO 2021 Mathematics - International Short Answer Question 20

IMSO Maths · IMSO 2021 Mathematics - International Short Answer

Question 20

In a target-shooting gallery, nine prizes worth $1$ to $9$ dollars are hung on three strings as shown below. The objective is to hit the targets, shown as shaded circles, above the prizes. If a target is hit, the player wins everything below it, and all targets and prizes below it become unavailable for the next player. Alice plays first, followed by Brian and then Colin. Each hits two targets. Alice wins $18$ dollars in total, Brian $13$ dollars, and Colin $14$ dollars. Which targets were hit by Colin?

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