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2021 AMC 10A Question 25

AMC10 · 2021 AMC 10A

Question 25

How many ways are there to place $3$ indistinguishable red chips, $3$ indistinguishable blue chips, and $3$ indistinguishable green chips in the squares of a $3 \times 3$ grid so that no two chips of the same color are directly adjacent to each other, either vertically or horizontally?
  1. $12$
  2. $18$
  3. $24$
  4. $30$
  5. $36$