AMC 12 2025 Part B Problem 13

A circle has been divided into 6 sectors of 6 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?

Answer Choices:

A. 12

B. 16

C. 18

D. 24

E. 28