MathDB
numbers of paths on a grid

Source: Austria Beginners' Competition 2013 p2

October 3, 2021
combinatorics

Problem Statement

The following figure is given: https://cdn.artofproblemsolving.com/attachments/9/b/97a30e248fcd6f098a900c89721a2e1b3b3f0e.png Determine the number of paths from the starting square AA to the target square ZZ, where a path consists of steps from a square to its top or right neighbor square .
(W. Janous, WRG Ursulinen, Innsbruck)