Statements A, B, C and E correctly describe the representational power of Venn diagrams. They visually show relationships among sets, capture intersections as overlapping regions, show disjointness through non-overlapping circles and can handle reasoning situations with three classes. Statement D is false because Venn diagrams are actually a standard tool for checking the validity of categorical syllogisms by mapping premises and examining the conclusion. Therefore the combination that lists A, B, C and E only is correct.
Option A:
Option A is incomplete because it omits E, thereby ignoring the useful fact that Venn diagrams can be extended to three sets and are often used in exam problems involving three categories. Without E, the picture of their application is narrower.
Option B:
Option B is correct since it collects all true statements and excludes D, which wrongly denies the use of Venn diagrams in syllogistic reasoning. It captures both the set-theoretic and exam-oriented aspects of Venn diagrams.
Option C:
Option C is wrong as it leaves out A, so it does not explicitly say that Venn diagrams represent relationships among sets or classes, a fundamental point about their purpose. Though B, C and E are true, the combination is incomplete.
Option D:
Option D is incorrect because it omits B, which explains how common elements are shown, and thus fails to mention how intersections appear visually. It also does not rectify D, the false claim about their use in testing syllogisms.
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