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Select the correct statements 1. Every countable set is similar to N 2. The set of all disjoint open intervals is 13. 2 not similar to the set of real numbers 3
Select the correct statements 1. Every countable set is similar to N 2. The set of all disjoint open intervals is 13. 2 not similar to the set of real numbers 3. The power set of N is similar to the set of real numbers. Codes: (a.) 1 and 2 only (b.) 2 and 3 only (c.) 1 and 3 only (d.) All of these m I
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Priyadarshan Choursiya![best-answer]()
this question is based on countability. a set A is called countable if there exist a bijection between set of natural number N and set A. or uncountable if we don't find any bijection or if we find bijection between at A and real no. set R. since we know that every countable set have bijective correspondence with N, thus They are similar. we know that power set is uncountable so it similar to R. note that every open interval is uncountable, so it similar to R, hence set contained open intervals also similar to R. answer c