MathDB

Given

19

red boxes and

200

blue boxes filled with balls. None of which is empty. Suppose that every red boxes have a maximum of

200

balls and every blue boxes have a maximum of

19

balls. Suppose that the sum of all balls in the red boxes is less than the sum of all the balls in the blue boxes. Prove that there exists a subset of the red boxes and a subset of the blue boxes such that their sum is the same.

Problem Statement