Problems(1)
Three A’s, three B’s, and three C’s are placed in the nine spaces so that each row and column contain one of each letter. If 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]
<spanclass=′latex−bold′>(A)</span> 2<spanclass=′latex−bold′>(B)</span> 3<spanclass=′latex−bold′>(C)</span> 4<spanclass=′latex−bold′>(D)</span> 5<spanclass=′latex−bold′>(E)</span> 6