Difference between revisions of "2002 OIM Problems/Problem 2"
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== Problem == | == Problem == | ||
| − | + | Given any set of 9 points in the plane of which there are not three collinear, show that for each point <math>P</math> of the set, the number of triangles that have as vertices to three of the remaining eight points and to <math>P</math> inside it, it is even. | |
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ||
Latest revision as of 04:39, 14 December 2023
Problem
Given any set of 9 points in the plane of which there are not three collinear, show that for each point 
of the set, the number of triangles that have as vertices to three of the remaining eight points and to inside it, it is even.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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