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A 8 C 9 n (An Bc) = [ 8 3 5 6 13 B 8 9

A 8 C 9 n (An Bc) = [ 8 3 5 6 13 B 8 9

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Does n(A∩B^C)= 41

The Venn diagram presented in this image illustrates the cardinality of each set within three intersecting circles, labeled as sets A, B, and C. Each circle contains numbers representing the cardinality of the subsets within the larger universal set. The numbers indicate the number of elements in each part of the diagram. - Set A contains elements 8 (exclusive to A) and elements overlapping with B and C. - Set B contains elements 13 (exclusive to B) and elements overlapping with A and C. - Set C contains elements 5 (exclusive to C) and elements overlapping with A and B. The intersections contain: - 8 elements that are in both A and B, but not in C. - 9 elements that are in both A and C, but not in B. - 6 elements that are in both B and C, but not in A. - 3 elements that are common to all three sets A, B, and C. Outside the sets, the universal set contains 8 additional elements. Below the diagram, there is a mathematical expression asking for the cardinality of the set \( n(A \cap B^C) \). To solve it, identify the section of the Venn diagram that represents elements in set A and not in set B or C, which corresponds to the number 8 (exclusive to A). The answer to \( n(A \cap B^C) \) is: 8
Transcribed Image Text:The Venn diagram presented in this image illustrates the cardinality of each set within three intersecting circles, labeled as sets A, B, and C. Each circle contains numbers representing the cardinality of the subsets within the larger universal set. The numbers indicate the number of elements in each part of the diagram. - Set A contains elements 8 (exclusive to A) and elements overlapping with B and C. - Set B contains elements 13 (exclusive to B) and elements overlapping with A and C. - Set C contains elements 5 (exclusive to C) and elements overlapping with A and B. The intersections contain: - 8 elements that are in both A and B, but not in C. - 9 elements that are in both A and C, but not in B. - 6 elements that are in both B and C, but not in A. - 3 elements that are common to all three sets A, B, and C. Outside the sets, the universal set contains 8 additional elements. Below the diagram, there is a mathematical expression asking for the cardinality of the set \( n(A \cap B^C) \). To solve it, identify the section of the Venn diagram that represents elements in set A and not in set B or C, which corresponds to the number 8 (exclusive to A). The answer to \( n(A \cap B^C) \) is: 8
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