Question 110
A $3 \times 3$ table has positive integers in its cells so that the sum of numbers in any two cells that share common side is a factorial of a positive integer. Show that there are at least $3$ equal numbers in the table.
The factorial of a positive integer $n$ is a product $1 \cdot 2 \cdot 3 \cdots n$.
**Fig. 5**
The factorial of a positive integer $n$ is a product $1 \cdot 2 \cdot 3 \cdots n$.
**Fig. 5**