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Alicia has 6 weeks to prepare for her final exam and at most 50 hours available to study over that period. She plans to study in one hour intervals and for at least an hour a day. Use the pigeon hole principle to prove that no matter how she schedules her study time, there is a period of consecutive days during which she will have studied exactly 33 hours.

Alicia has 6 weeks to prepare for her final exam and at most 50 hours available to study over that period. She plans to study in one hour intervals and for at least an hour a day. Use the pigeon hole principle to prove that no matter how she schedules her study time, there is a period of consecutive days during which she will have studied exactly 33 hours.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Alicia has 6 weeks to prepare for her final exam and at most 50 hours available to study over that period. She plans to study in one hour intervals and for at least an hour a day. Use the pigeon hole principle to prove that no matter how she schedules her study time, there is a period of consecutive days during which she will have studied exactly 33 hours.
Transcribed Image Text:1. Alicia has 6 weeks to prepare for her final exam and at most 50 hours available to study over that period. She plans to study in one hour intervals and for at least an hour a day. Use the pigeon hole principle to prove that no matter how she schedules her study time, there is a period of consecutive days during which she will have studied exactly 33 hours.
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