How many triangles are on picture below?
On yahoo answers I have found that numbers of triangles in complete graph with n nodes is: $\frac{n(n-1)(n-2)}{6}$
But how this formula has been estimated?
2026-04-01 08:21:54.1775031714
How many triangles are see in complete K5 graph
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Any set of three vertices forms exactly one unique triangle. How many of these sets exists? We can use the binomial coefficient $\binom{n}{3}=\frac{n!}{3!(n-3)!}=\frac {n\cdot(n-1)\cdot(n-2)}{6}$