Maths Olympiad Prep

Library / /322 of 475

, 2000

Combinatorics Difficulty 2.0 Junior Find the answer Canada

There are seven points on a piece of paper. Exactly four of these points are on a straight line. No other line contains more than two of these points. Three of these seven points are selected to form the vertices of a triangle. How many triangles are possible?

(A) 1818 (B) 2828 (C) 3030 (D) 3131 (E) 3333

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.