Which of the following diagrams indicates the best relation between Sailor,…
2024
Which of the following diagrams indicates the best relation between Sailor, Ship and Ocean?
Attempted by 9 students.
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Concept: In Venn-diagram reasoning, the diagram used for three items depends on how their categories relate: separate circles show unrelated (disjoint) items, partly overlapping circles show items that share only some members, and circles drawn one strictly inside another show a chain of full containment, where every member of the inner circle is also a member of the outer one.
Application: Here every sailor works on a ship, so the set of sailors sits entirely inside the set that belongs to ships; and every ship operates in the ocean, so the set of ships sits entirely inside the ocean. That gives a two-level full-containment chain: Sailor inside Ship inside Ocean, with nothing left outside the next larger circle.
Three circles that all overlap one another describe partial sharing between every pair, not full containment, so that diagram does not fit.
Two separate circles placed inside one larger circle describe two independent categories under a common outer category, which misses that one of the two is supposed to sit entirely inside the other.
One pair of nested circles next to a third, fully separate circle captures only part of the chain nested, leaving the remaining entity unconnected, so it does not show all three levels in a single chain.
The diagram of three circles drawn one strictly inside the other, smallest to largest, correctly represents Sailor inside Ship inside Ocean.