AMC 12 2025 Part B Problem 11

Nine athletes, no two of whom are the same height, try out for the basketball team. One at a time, they draw a wristband at random, without replacement, from a bag containing 3 blue bands, 3 red bands, and 3 green bands. They are divided into a blue group, a red group, and a green group. The tallest member of each group is named the group captain. What is the probability that the group captains are the three tallest athletes?

Answer Choices:

A. \dfrac{2}{9}

B. \dfrac{2}{7}

C. \dfrac{9}{28}

D. \dfrac{1}{3}

E. \dfrac{3}{8}