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Unformatted text preview: He can just tell each guest that if the guest is in room N, then the guest must move to room N+1. That frees up Room 1 for the traveler. #30. Yes. Here is one way to see a one-to-one matching between the natural numbers and all the bars in all the packages: Natural numbers: 1 2 3 4 5 6 ... Packages 1 2 3 ... Candy bars bar bar bar bar bar bar ... More mathematically, we match one bar in Package # n with the natural number 2 n and the other bar in Package # n with the natural number 2 n-1. Either of these descriptions are good and enough there may even be other descriptions of this matching....
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- Spring '08