Which is not a σ-algebra of S = {0, 2, 4, 5, 7}? (a) {S, Φ, {0}, {2}, {0,2}, {4,5,7}, {0,4,5,7}, {2,4,5,7}} (b) {S, Φ, {0}, {0,2}, {4,5}, {0,2,4,5}, {0,2,7}, {4,5,7}} (c) {S, Φ, {0}, {4,5}, {2,7}, {0,4,5}, {0,2,7}, {2,4,5,7}} (d) {S, Φ, {2}, {4}, {7}, {2,4}, {2,7}, {4,7}, {0,5}, {2,4,7}, {0,2,5}, {0,4,5}, {0,5,7}, {0,2,4,5}, {0,2,5,7}, {0,4,5,7}}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Which is not a σ-algebra of S = {0, 2, 4, 5, 7}?

(a) {S, Φ, {0}, {2}, {0,2}, {4,5,7}, {0,4,5,7}, {2,4,5,7}}

(b) {S, Φ, {0}, {0,2}, {4,5}, {0,2,4,5}, {0,2,7}, {4,5,7}}

(c) {S, Φ, {0}, {4,5}, {2,7}, {0,4,5}, {0,2,7}, {2,4,5,7}}

(d) {S, Φ, {2}, {4}, {7}, {2,4}, {2,7}, {4,7}, {0,5}, {2,4,7}, {0,2,5}, {0,4,5}, {0,5,7}, {0,2,4,5}, {0,2,5,7}, {0,4,5,7}}

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