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MathNet 2016-part-05 — 184 problems (EN–VI) Question 53

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 53

Jure drew 4 distinct lines in the plane in various positions and denoted by $n$ the number of intersection points of the lines in each position. Which set gives exactly all possible values of the number $n$?

(A) $\{0,2,3,4,5,6\}$
(B) $\{0,1,3,4,5,6\}$
(C) $\{0,1,3,4,6\}$
(D) $\{1,3,4,5,6\}$
(E) $\{0,1,2,3,4,6\}$