Problem #PRU-104021

Problemas Geometría Geometría sólida Paralelepípedos Casos especiales de paralelepípedos Cubo Teoría de números Divisibilidad Números impares y pares Métodos Principio del casillero Principio del casillero (otros)
 12–13  2.0

Problem

a) A 1 or a 0 is placed on each vertex of a cube. The sum of the 4 adjacent vertices is written on each face of the cube. Is it possible for each of the numbers written on the faces to be different?

b) The same question, but if 1 and \(-1\) are used instead.