Question 14
Original question: Choose nine different integers from 1 to 36 and place them in the $3\times3$ grid below so that the products in every row, every column and both diagonals are equal. What is the product in each row?
Practice clarification: these conditions do not determine a unique product. Find all possible common products, justify that your list is complete, and give a valid grid for each.
Practice clarification: these conditions do not determine a unique product. Find all possible common products, justify that your list is complete, and give a valid grid for each.