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Problem 58

Combinatorics Difficulty 1.1 Multiple choice CEMC Cayley · Canada · 2023

Lucy tracked the number of cardinals and the number of blue jays
that she saw each day for three days. The graph below summarizes the
birds that she saw.

How many more cardinals than blue jays did she see over the three
days?

Pick one

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Official solution

On Day 1, Lucy sees 2 blue jays and 3 cardinals, and so sees 1
more cardinal than blue jay.

On Day 2, Lucy sees 3 blue jays and 3 cardinals.

On Day 3, Lucy sees 2 blue jays and 4 cardinals, and so sees 2 more
cardinals than blue jays.

Thus, over the three days, Lucy saw $1 + 0 +
2 = 3$ more cardinals than blue jays.

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