Problem #PRU-107802

Problemas Métodos Ejemplos y contraejemplos. Pruebas constructivas Problemas divertidos Problemas de palabras Tablas y torneos Tablas numéricas y sus propiedades Principio del casillero Principio del casillero (otro)
 12–14  4.0

Problem

  • Eight schoolchildren solved \(8\) tasks. It turned out that \(5\) schoolchildren solved each problem. Prove that there are two schoolchildren, who solved every problem at least once.

  • If each problem is solved by \(4\) pupils, prove that it is not necessary to have two schoolchildren who would solve each problem.