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What is the maximum number of points of intersection of two different lines and three different circles in the same plane?

  • Math -

    the three circles can cut each other in 6 different points (think of a typical Venn diagram)
    A line can cut a circle in 2 point
    so each line can cut all the circles in 6 points

    so total = 6 + 6 + 6 = 18
    BUT, let's not forget that the two lines can also intersect
    so the total is 19

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