Choose the Venn diagram that depicts the correct relationship among Males,…

Key idea: use containment and overlap to represent the logical relationships.

• All fathers are males, so the Fathers set must be entirely contained within the Males set.

• Doctors can be male or female, so the Doctors set should overlap the Males set but not be completely inside it (some doctors are male, some are female).

• Therefore the correct diagram shows Fathers fully inside Males, and Doctors overlapping Males while also extending outside to represent female doctors. The overlap between Doctors and Fathers represents doctors who are also fathers.

Why other common diagrams are incorrect:

• A symmetric three-way overlap that does not show Fathers entirely inside Males is wrong because it allows fathers who are not male.

• A Doctors circle completely separate from Males incorrectly implies there are no male doctors.

• Nesting that places Doctors entirely inside Fathers (or makes Doctors a strict subset of Fathers) is wrong because it would imply every doctor is a father.

Conclusion: Choose the diagram that shows Fathers completely inside Males, with Doctors overlapping Males and extending outside it. That diagram correctly represents the relationships among Males, Fathers and Doctors.