2022 AMC 10A Problem 9


A rectangle is partitioned into 55 regions as shown. Each region is to be painted a solid color - red, orange, yellow, blue, or green - so that regions that touch are painted different colors, and colors can be used more than once. How many different colorings are possible?


(A) 120(B) 270(C) 360(D) 540(E) 720\textbf{(A) }120\qquad\textbf{(B) }270\qquad\textbf{(C) }360\qquad\textbf{(D) }540\qquad\textbf{(E) }720

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Problem Tags: Counting and probability

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Category: AMC 10A
Points: 1
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