Question 173
The numbers $1$, $2$, $3$, $\ldots$, $16$ are written in the squares of a $4 \times 4$ table, one in each square, and we add the numbers in each column. If one of the sums is larger than the other three, we denote it $S$.
a) Give an example with $S = 40$.
b) Which is the smallest possible value of $S$?
a) Give an example with $S = 40$.
b) Which is the smallest possible value of $S$?