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Latin Square Fixed Corner Arrangements

1100BeginnerCombinatoricsCounting Principles

AMC 8 · 2008 · 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? [Asymptote diagram]

Answer choices

A
2
B
3
C
4
D
5
E
6
0 students attempted0% solvedRating 1100

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