MathDB
Photos Of Trees

Source: KöMaL A. 762

March 20, 2022
combinatoricskomal

Problem Statement

In a forest, there are nn different trees (considered as points), no three of which lie on the same line. John takes photographs of the forest such that all trees are visible (and no two trees are behind each other). What is the largest number of orders of in which the trees that can appear on the photos?
Proposed by Gábor Mészáros, Sunnyvale, Kalifornia