Select the Venn diagram that best illustrates the relationship between the following classes.
Father, Pilots, Women
Correct Answer :
Solution :
The correct answer is:
Step-by-step Explanation:
To identify the Venn diagram that best illustrates the relationship between Father, Pilots, and Women, let us examine the logical connections between each pair of classes:
1. Father and Women:
By definition, a father is a male parent. Therefore, no father can be a woman, and no woman can be a father. These two classes are completely mutually exclusive (disjoint sets). Hence, their circles must not overlap at all.
2. Pilots and Father:
Some fathers work as pilots, while some pilots are fathers. Therefore, there is a partial intersection between the circle for 'Pilots' and the circle for 'Father'.
3. Pilots and Women:
Some women work as pilots, while some pilots are women. Therefore, there is also a partial intersection between the circle for 'Pilots' and the circle for 'Women'.
Summary of Diagram Features:
- The central circle represents Pilots.
- One outer circle represents Father, which overlaps only with Pilots.
- The other outer circle represents Women, which overlaps only with Pilots.
- The two outer circles (Father and Women) remain completely separated from each other with zero overlap.
Thus, the diagram consisting of three circles in a line where the middle circle intersects both non-overlapping outer circles best represents this relationship:
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