Choose the Venn diagram from the options which represent the correct…

2023

Choose the Venn diagram from the options which represent the correct relationship among the given classes : Authors, Professors, Men

Attempted by 223 students.

Show answer & explanation

Final answer: the diagram with three circles that all overlap pairwise and have a central triple-overlap region.

Why this is correct:

  • There is no subset relationship between Authors, Professors, and Men: authors and professors include both men and women, so neither authors nor professors are entirely contained within men, and men are not entirely contained within either authors or professors.

  • Authors and Professors can overlap: some people can be both authors and professors.

  • There can be men who are neither authors nor professors, and there can be authors or professors who are not men (women).

  • Therefore we need a diagram that allows: only Authors, only Professors, only Men, Authors∩Professors, Authors∩Men, Professors∩Men, and Authors∩Professors∩Men.

The three overlapping circles diagram provides exactly these regions, so it correctly represents the relationships among Authors, Professors, and Men.

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