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Problem 151

Combinatorics Difficulty 1.2 Multiple choice CEMC Gauss (Grade 8) · Canada · 2020

Yvon has 4 different notebooks and 5 different pens. He must bring exactly one notebook and exactly one pen to his class. How many different possible combinations of notebooks and pens could he bring?

Pick one

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Official solution

Since the third and fourth numbers in the list are consecutive and add to 11, then the third number in the list is 5 and the fourth is 6.
The fifth number in the list is 7, and so the sixth number in the list is 8.

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