MathDB
Each row/column use the numbers 1,2,3 in 3*3 square

Source: 1993 AMC 8 Problem 14

June 28, 2011
AMC

Problem Statement

The nine squares in the table shown are to be filled so that every row and every column contains each of the numbers 1,2,31,2,3. Then A+B=A+B=
\begin{tabular}{|c|c|c|} \hline 1 & & \\ \hline & 2 & A \\ \hline & & B \\ \hline \end{tabular}
(A) 2(B) 3(C) 4(D) 5(E) 6\text{(A)}\ 2 \qquad \text{(B)}\ 3 \qquad \text{(C)}\ 4 \qquad \text{(D)}\ 5 \qquad \text{(E)}\ 6