Problem
2008 AMC 8 Problem 14
Three \text{A's}, three \text{B's}, and three \text{C's} are placed in the nine spaces so that each row and column contain one of each letter. If \text{A} is placed in the upper left corner, how many arrangements are possible? ![[asy] size((80)); draw((0,0)--(9,0)--(9,9)--(0,9)--(0,0)); draw((3,0)--(3,9)); draw((6,0)--(6,9)); draw((0,3)--(9,3)); draw((0,6)--(9,6)); label("A", (1.5,7.5)); [/asy]](/static/aops/a8bdf881057552dc4d90a565dcc73fef0f5ccf5f.png)
\textbf{(A)}\ 2\qquad\textbf{(B)}\ 3\qquad\textbf{(C)}\ 4\qquad\textbf{(D)}\ 5\qquad\textbf{(E)}\ 6
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