12-sided convex polygon-shaped pizza.
Source: (2022-) 2023 XVI 16th Dürer Math Competition Finals Day 2 E15
May 25, 2024
geometrycombinatoricscombinatorial geometry
Problem Statement
Csongi bought a -sided convex polygon-shaped pizza. The pizza has no interior point with three or more distinct diagonals passing through it. Áron wants to cut the pizza along diagonals so that exactly pieces of pizza are created. In how many ways can he do this? Two ways of slicing are different if one of them has a cut line that the other does not have.