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Problem 8

Combinatorics Difficulty 1.0 Multiple choice CEMC Gauss (Grade 8) · Canada · 2025

In the diagram, how many of the $24$ circles are shaded?

Pick one

Official solution

In each row, exactly $3$ of
the $6$ or one-half of the circles
are shaded. Thus, one-half of the $24$ , that is, $12$ circles are shaded. Alternately, we
could just count the $12$ shaded
circles.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.