2

Part of 2003 Swedish Mathematical Competition

Problems(1)

6 boys sit in each row, 8 girls sit in in each column

Source: 2003 Swedish Mathematical Competition p2

In a lecture hall some chairs are placed in rows and columns, forming a rectangle. In each row there are

6

boys sitting and in each column there are

8

girls sitting, whereas

15

places are not taken. What can be said about the number of rows and that of columns?

algebracombinatorics