Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2019-part-04 — 184 problems (EN–VI) Question 76

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 76

We are given a triangle with an additional two points on each side. So in total, there are nine points (see figure).

Question illustration

We want to choose three of the nine points that are not on one line. For example, we could choose (1) the three vertices of the triangle, or (2) the left vertex and the two additional points on the opposite side.
How many possible choices are there in total, including the two examples given?

Question illustration