Problem #PRU-100631

Problems Methods Algebraic methods Counting in two ways

Problem

A \(3 \times 3\) magic square is a square with different number from \(1\) to \(9\) in each of its \(9\) cells. The numbers in each row, column and diagonal sum up to \(15\). Show that there is a number \(5\) in the centre of the square.