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What is the greatest number of intersection points between 6 straight lines, if they are arranged as three pairs of parallel lines?

A. 8
B. 9
C. 12
D. 18
E. 36

Remember the rule that the maximum number of intersection points that each additional line can create, is the same as the number of lines on the board before adding the additional line. We can envision two parallel lines crossing, there can be 4 intersections at most from that. Then we add in another set of parallel lines, there are currently 4 lines on the board so each line can only create 4 more intersection points. Thus we have 4 + 4 + 4 = 12 intersection points at most.

Ans: C
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