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Problem Solving (PS) | Re: When three parallel lines are intersected by three nonparallel lines

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Bunuel wrote:

When three parallel lines are intersected by three nonparallel lines, what is the maximum number of intersections possible?

(A) 6
(B) 8
(C) 10
(D) 12
(E) 16


We can start with 9 (minimum maximum) 3 lines intersecting 3 lines) = 9
Now two non parallel lines can intersect only at one point = 1
but the third line can intersect both of them = 2

12
D

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