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Th set of girls in a boys school is :...

Th set of girls in a boys school is :

A

a null set

B

a singleton

C

a finite set

D

infinite set .

Text Solution

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The correct Answer is:
To solve the question regarding the set of girls in a boys' school, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Context**: - The question asks about the set of girls in a boys' school. By definition, a boys' school is an educational institution that only admits boys. **Hint**: Think about the definition of a boys' school and what it implies about the students enrolled. 2. **Identify the Set**: - Since a boys' school does not have any girls enrolled, we need to determine what this means for the set of girls. **Hint**: Consider what it means to have no elements in a set. 3. **Determine the Type of Set**: - The set of girls in a boys' school is empty because there are no girls present. In set theory, an empty set is denoted by the symbol ∅ or can be referred to as a null set. **Hint**: Recall the definition of a null set and how it is represented. 4. **Evaluate the Options**: - The options given are: - Null set - Singleton set - Finite set - Infinite set - Since we have established that the set of girls is empty, the correct answer is the null set. **Hint**: Review the definitions of singleton, finite, and infinite sets to confirm why they do not apply in this scenario. 5. **Conclusion**: - Therefore, the set of girls in a boys' school is a null set. **Hint**: Summarize your findings to reinforce the conclusion. ### Final Answer: The set of girls in a boys' school is a **null set** (∅).
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