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Section 1.3 Exercise #9 For each of the following sets, say whether it is finite, countable or uncountable. Explain why. (a) The set of functions

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Section 1.3 Exercise #9 For each of the following sets, say whether it is finite, countable or uncountable. Explain why. (a) The set of functions from a finite set to a finite set. (b) The set of functions from a finite set to a countable set. (c) The set if functions from a countable set to a finite set. (d) The set of all finite subsets of the integers. Hint: prove that for each n the set of finite subsets of size n is countable

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