(a) Let S be the set of all sequences of 0s and 1s. For example,and are in S. Using a

Chapter 5, Problem 13

(choose chapter or problem)

(a) Let S be the set of all sequences of 0s and 1s. For example,and are in S. Using a proofsimilar to that for Theorem 5.2.4, show that S is uncountable. (b) For each let be the set of all sequences in S with exactly n 1s.Prove that is denumerable for all(c) Let Use a counting process similar to that described in thediscussion of Theorem 5.3.1 to show that T is denumerable.

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