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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
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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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