Problem #PRU-100629

Problems Methods Algebraic methods Counting in two ways

Problem

There are \(36\) warrior tomcats standing in a \(6 \times 6\) square formation. Each cat has several daggers strapped to his belt. Is it possible that the total number of daggers in each row is more than \(50\) and the total number of daggers in each column is less than \(50\)?