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1. Suppose that S is the set of all strings of one or more a's and b's. For example, S contains the strings "a", "b", "aa", "ab", "ba", "bb", "aaa", "aab" ..., etc.
a. Prove that S has infinite cardinality. b. Prove that S is countable.
a. Prove that S has infinite cardinality.
b. Prove that S is countable.
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