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HMMT November 2024 U3

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The graphs of the lines

y=x+2,y=3x+4,y=5x+6,y=7x+8,y=9x+10,y=11x+12y=x+2, y=3 x+4, y=5 x+6, y=7 x+8, y=9 x+10, y=11 x+12

are drawn. These six lines divide the plane into several regions. Compute the number of regions the plane is divided into.

Dataset text NuminaMath olympiads. Quoted with source.

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