Which diagram best represents the relationship among the given classes?
Doctor, Smoker, Indian, Non-Smoker
- AA
- BB
- CC
- DD
Solution & Step-by-step Explanation
Let's analyze the relationship between the sets:
Smoker and Non-Smoker are completely mutually exclusive sets (disjoint circles) because a person cannot be both a smoker and a non-smoker at the same time.
An Indian can be a doctor, a smoker, or a non-smoker. Thus, the 'Indian' circle intersects all these categories.
A Doctor can also be an Indian, a smoker, or a non-smoker. Thus, the 'Doctor' circle intersects the others appropriately while keeping Smoker and Non-Smoker separated.
The Venn diagram showing two separate circles (Smoker and Non-Smoker) intersecting with two other overlapping circles (Doctor and Indian) perfectly represents this distribution, which matches Option A.
Smoker and Non-Smoker are completely mutually exclusive sets (disjoint circles) because a person cannot be both a smoker and a non-smoker at the same time.
An Indian can be a doctor, a smoker, or a non-smoker. Thus, the 'Indian' circle intersects all these categories.
A Doctor can also be an Indian, a smoker, or a non-smoker. Thus, the 'Doctor' circle intersects the others appropriately while keeping Smoker and Non-Smoker separated.
The Venn diagram showing two separate circles (Smoker and Non-Smoker) intersecting with two other overlapping circles (Doctor and Indian) perfectly represents this distribution, which matches Option A.