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.
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.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.6: Mixed Expressions
Problem 1CE
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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.
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