MathDB
Rioplatense 2022 - Level A - Problem 1

Source:

December 6, 2022
combinatorics

Problem Statement

In the blackboard there are drawn 2525 points as shown in the figure. Gastón must choose 44 points that are vertices of a square. In how many different ways can he make this choice?\begin{matrix}\bullet & \bullet & \bullet & \bullet & \bullet \\\bullet & \bullet & \bullet & \bullet & \bullet \\\bullet & \bullet & \bullet & \bullet & \bullet \\\bullet & \bullet & \bullet & \bullet & \bullet \\\bullet & \bullet & \bullet & \bullet & \bullet \end{matrix}