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4. (10 points) Let A be a set of all infinite sequences over (a, b, c). Examples of infinite sequence over fa, b, c) are

4. (10 points) Let A be a set of all infinite sequences over (a, b, c). Examples of infinite sequence over fa, b, c) are aaaa..., ababab..., abcabc..., and ccaabbccaabb... Show that the set A is uncountable using the diagonalization method

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