weary traveler restaurant

weary traveler restaurant

Have fun with cardinality!?

curious question: The Cardinal Hotel is a luxury full-service bar and a restaurant. It has many rooms because there are natural numbers. The number of rooms 1, 2, 3, 4, 5, .... You can see why stranded passengers love the Hotel cardinality. It seems unnecessary for the sign sad: No Vacancy. Suppose, however, that each room is occupied. However, it seems that the night manager must flash Vacancy No signal. What if a weary traveler arriving late at night looking for a place to stay? Could figure in charge of the night in a form of offer the traveler a private room (no sharing), without excluding other guests? The answer is yes. Describe how they receive, of course, invited to move to other rooms. Given the scenario, assume now that the two travelers arrived, everyone wants their private room. Is it possible that the administrator of the night to accommodate those people without pushing existing customers?

He is still capable of doing, because natural numbers is assigned to the numbers 1 to infinity. In addition, some people consider 0 to be part of all natural numbers, so if that is what we are after, then you can put someone in the room from scratch. This is the wiki of natural numbers: http://en.wikipedia.org/wiki/Natural_number

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