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There are $2n$ points in space such that no $3$ points are co-linear. Suppose, they are joined by at least $n^2+1$ edges. Show that, at least $1$ triangle is formed.
- Fri Feb 06, 2015 8:17 pm
- Forum: Secondary Level
- Topic: Practice Problem Set for National (Secondary Category)
- Replies: 2
- Views: 2717
I think it would be nice if all the P-Sets were merged in one thread, and, the discussions were carried out in that thread as well...
I'll post what I have. Others please continue the thread. $$ Functional Equations , by, Marko Radovanovic Note from IMO-Math funeqn_mr.pdf $$ Functional Equations , by, David Arthur Article from Canadian IMO Training-Camp 2014 Functional Equations - David Arthur - 2014 winter camp.pdf