Printable

2022 AMC 10A Problem 9

Include the solution Back to the problem

2022 AMC 10A Problem 9AMC 10 Step by Step

Name: Date: September 13, 2026

Arrangements with Restrictions · difficulty 2 of 5 · about 3 min · position P1-10

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?

A)
$120$
B)
$270$
C)
$360$
D)
$540$
E)
$720$

2022 AMC 10A Problem 9

Working