Difference between revisions of "1993 AJHSME Problems/Problem 14"

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

Revision as of 20:07, 19 August 2011

Problem

The nine squares in the table shown are to be filled so that every row and every column contains each of the numbers $1,2,3$. Then $A+B=$

\[\begin{tabular}{|c|c|c|}\hline 1 & &\\ \hline & 2 & A\\ \hline & & B\\ \hline\end{tabular}\]

$\text{(A)}\ 2 \qquad \text{(B)}\ 3 \qquad \text{(C)}\ 4 \qquad \text{(D)}\ 5 \qquad \text{(E)}\ 6$