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MathNet 2024 — batch of 27 questions Question 20

Math Olympiad Vault · MathNet 2024 — batch of 27 questions

Question 20

The graphs of the lines
$$
y = x + 2, \quad y = 3x + 4, \quad y = 5x + 6, \quad y = 7x + 8, \quad y = 9x + 10, \quad y = 11x + 12
$$
are drawn. These six lines divide the plane into several regions. Compute the number of regions the plane is divided into.