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Question 3
pelsu l Foom n moves to, a which room your nh friend stays in. Furthermore, find a way that you can move the curres guests so that each current guest still has a room, each of your infinity friends has a roon and infinity rooms remain unoccupied. . Define a scheme for counting the collection of all integers (this was a problem from class that we discussed). To illustrate the effectiveness of your scheme, tell me what label the integers -987 and 141 should respectively have. 3. Use the ideas that helped us count the collection of all integers to answer the following question: suppose you have two infinite countable collections of objects (call them Collection A and Collection B) and you combine these two collections into one big collection (eallit Collection C). Is the new Collection C countable? If so, define a counting scheme if not, discuss why.
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