6 boys sit in each row, 8 girls sit in in each column
Source: 2003 Swedish Mathematical Competition p2
March 21, 2021
algebracombinatorics
Problem Statement
In a lecture hall some chairs are placed in rows and columns, forming a rectangle. In each row there are boys sitting and in each column there are girls sitting, whereas places are not taken. What can be said about the number of rows and that of columns?