Discrete Structures And Combinatorics

Reply Wed 6 Feb, 2019 11:35 am
A stressed-out computer science professor consumes at least one espresso everyday of a particular year, drinking 500 overall. Prove that on some consecutive sequence of whole days exactly 100 espressos were consumed.
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Reply Wed 6 Feb, 2019 11:48 am
This seems fairly straight forward. I would start by enumerating combinations.

What is the arrangement that this could be true? Then I would start thinking about ways that this might not be true... and eliminate them.

I don't do homework unless I am getting a grade, but if you start reasoning here, I am sure we can help.
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