List questions from pigeonhole-principle | MathQA

Hard Pigeonhole Principle Modulus Distance

Published on 13 Jan 2023 - 14:10

An arc B with a circumference of 24 is drawn between K1 and K2 on a circle in the plane with a circumference of 42. 21 people mark circular arcs of…

Published on 15 Jan 2023 - 18:39

Prove that number of triangles formed with area $1$ and vertices chosen from $n$ points (no $3$ are collinear) is not greater than $2(n^2-n) /3$

Published on 21 Jan 2023 - 14:05

How large can $X\subset \mathbb{F}_2^{10}$ be without solutions to $x_1+\cdots+x_n=0$ for $n\le4$?

Published on 29 Mar 2026 - 22:31