Question 1
The cells of a $3 \times 3$ table were numbered from $1$ to $9$, each number appearing exactly once. For each row the cell with the greatest number is colored red and the cell with the smallest number is colored green. Let $A$ be the smallest of the numbers in the red cells and $B$ the greatest of the numbers in the green cells.
a. Show a distribution of the numbers in the table such that $A - B = 4$.
b. Show a distribution of the numbers in the table such that $A - B = -3$.
c. Is it possible that $A = 4$ and $B = 3$?
a. Show a distribution of the numbers in the table such that $A - B = 4$.
b. Show a distribution of the numbers in the table such that $A - B = -3$.
c. Is it possible that $A = 4$ and $B = 3$?