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What is the greatest number of intersection points four coplanar lines can have?

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What is the greatest number of intersection points four coplanar lines can have?

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  1. Two lines can have 1 intersection

    Add another line and it will cross the first 2 for a total of 3.

    Add a 4th line so it crosses all 3 and you'll have a total of 6.

    See the attached diagram for a picture.

    Basically, the maximum is:

    n(n-1)/2

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