18. More Hotel C (ExH). Given the scenario in Mindscape 16-that is, the hotel starts full-suppose now that the Infinite Life Insurance Company, which has lots of employees-in fact, there are as many employees as there are natural numbers-decides to provide each of its employees with a private room. Is it possible for the night manager to give each of the infinitely many employees his or her own room without kicking any of the other guests onto the streets? By the way, as you may have guessed, after this busy evening, the night manager quit and got a job as the night manager of a nearby Motel 6 (it only had 56 rooms).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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18. More Hotel C (ExH). Given the scenario in Mindscape 16–that is, the hotel
starts full-suppose now that the Infinite Life Insurance Company, which
has lots of employees-in fact, there are as many employees as there are
natural numbers-decides to provide each of its employees with a private
room. Is it possible for the night manager to give each of the infinitely many
employees his or her own room without kicking any of the other guests onto
the streets? By the way, as you may have guessed, after this busy evening, the
night manager quit and got a job as the night manager of a nearby Motel 6
(it only had 56 rooms).
Transcribed Image Text:18. More Hotel C (ExH). Given the scenario in Mindscape 16–that is, the hotel starts full-suppose now that the Infinite Life Insurance Company, which has lots of employees-in fact, there are as many employees as there are natural numbers-decides to provide each of its employees with a private room. Is it possible for the night manager to give each of the infinitely many employees his or her own room without kicking any of the other guests onto the streets? By the way, as you may have guessed, after this busy evening, the night manager quit and got a job as the night manager of a nearby Motel 6 (it only had 56 rooms).
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