Select the Venn diagram description that best illustrates the relationship between the following classes:
Father, Pilots, Women
- AThree mutually intersecting circles.
- BTwo separate non-overlapping circles both partially intersected by a third circle.
- CThree separate non-intersecting circles.
- DOne circle completely inside another, with a third circle intersecting both.
Solution & Step-by-step Explanation
Let's analyze the relationships logically:
1. No 'Father' can be a 'Woman', so the sets 'Father' and 'Women' are completely disjoint and do not overlap.
2. Some fathers can be pilots, and some women can be pilots. Thus, the set 'Pilots' will partially intersect both the 'Father' circle and the 'Women' circle.
Therefore, this layout is best described as two separate non-overlapping circles both partially intersected by a third circle.
1. No 'Father' can be a 'Woman', so the sets 'Father' and 'Women' are completely disjoint and do not overlap.
2. Some fathers can be pilots, and some women can be pilots. Thus, the set 'Pilots' will partially intersect both the 'Father' circle and the 'Women' circle.
Therefore, this layout is best described as two separate non-overlapping circles both partially intersected by a third circle.