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4. Let = {a, b}, A = {a, b, aa, bb, aaa, bbb}, Σ : B = {w € Σ* : length(w) ≥ 2}, and length(w) ≤ 2}. C = {w€ Σ* (a) Determine ANC, A\C, C\A, and A & C. (b) Determine An B, BNC, BUC, and B \ A. (c) Determine Σ* \ B, Σ \ B, and Σ \ C. (d) List all subsets of E. (e) How many sets are there in P(E)?

4. Let = {a, b}, A = {a, b, aa, bb, aaa, bbb}, Σ : B = {w € Σ* : length(w) ≥ 2}, and length(w) ≤ 2}. C = {w€ Σ* (a) Determine ANC, A\C, C\A, and A & C. (b) Determine An B, BNC, BUC, and B \ A. (c) Determine Σ* \ B, Σ \ B, and Σ \ C. (d) List all subsets of E. (e) How many sets are there in P(E)?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 29E
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4. Let = {a, b}, A = {a, b, aa, bb, aaa, bbb}, length(w) ≥ 2}, and length(w) ≤ 2}. B = {w € Σ* : C = {we Σ* (a) Determine ANC, A\C, C \ A, and A & C. (b) Determine An B, BNC, B UC, and B\ A. (c) Determine Σ* \ B, Σ \ B, and Σ \ C. (d) List all subsets of E. (e) How many sets are there in P(E)?
Transcribed Image Text:4. Let = {a, b}, A = {a, b, aa, bb, aaa, bbb}, length(w) ≥ 2}, and length(w) ≤ 2}. B = {w € Σ* : C = {we Σ* (a) Determine ANC, A\C, C \ A, and A & C. (b) Determine An B, BNC, B UC, and B\ A. (c) Determine Σ* \ B, Σ \ B, and Σ \ C. (d) List all subsets of E. (e) How many sets are there in P(E)?
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