Let S be the set of all finite sequences of letters a, b, c. For example, the following are elements of S: abaaccbcbcaaa, ababc, cccaa. Is S countable? Justify your answer.

College Algebra
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3CC: (a) What is a combination of r elements of a set? How many combinations are there of n elements...
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Let ? be the set of all finite sequences of letters a,b,c.

For example, the following are elements of ?: abaaccbcbcaaa, ababc, cccaa.

Is ? countable? Justify your answer.

Let S be the set of all finite sequences of letters a, b, c.
For example, the following are elements of S: abaaccbcbcaaa, ababc, cccaa.
Is S countable? Justify your answer.
Transcribed Image Text:Let S be the set of all finite sequences of letters a, b, c. For example, the following are elements of S: abaaccbcbcaaa, ababc, cccaa. Is S countable? Justify your answer.
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