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MathNet 2008-part-05 — 164 problems (EN–VI) Question 37

Math Olympiad Vault · MathNet 2008-part-05 — 164 problems (EN–VI)

Question 37

John M. is sitting at $(0, 0)$, looking across the aisle at his friends sitting at $(i, j)$ for each $1 \leq i \leq 10$ and $0 \leq j \leq 5$. Unfortunately, John can only see a friend if the line connecting them doesn't pass through any other friend. How many friends can John see?