Maths Olympiad Prep

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, 2025

Combinatorics Difficulty 1.0 Junior Find the answer Canada

In the diagram, how many of the 2424 circles are shaded?

IMG0

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Pick one

Solution

In each row, exactly 33 of the 66 or one-half of the circles are shaded. Thus, one-half of the 2424, that is, 1212 circles are shaded. Alternately, we could just count the 1212 shaded
circles.

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