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2025 AMC 10B Problem 16

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2025 AMC 10B Problem 16AMC 10 Step by Step

Name: Date: September 13, 2026

Arrangements with Restrictions · difficulty 3 of 5 · about 5 min · position P16-20

A circle has been divided into $6$ sectors of different sizes. Then $2$ of the sectors are painted red, $2$ painted green, and $2$ painted blue so that no two neighboring sectors are painted the same color. One such coloring is shown below.

How many different colorings are possible?

A)
$12$
B)
$16$
C)
$18$
D)
$24$
E)
$28$

2025 AMC 10B Problem 16

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