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AMC10 2027 - Self-practice Set 7 Question 20

AMC10 · AMC10 2027 - Self-practice Set 7

Question 20

A rectangle is partitioned into $5$ 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?

Question illustration
  1. $120$
  2. $270$
  3. $360$
  4. $540$
  5. $720$