Maths Olympiad Prep

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, 2020

Combinatorics Difficulty 1.2 Junior Find the answer Canada

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

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.

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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.