How many subsets does the empty set ∅ have?
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Answer and explanation
Correct answer: 1
The empty set has zero elements, so the general formula gives 2⁰ = 1 subset. That one subset is ∅ itself. Although it contains no elements, it is still a set and is considered a subset of every set, including itself. Therefore the empty set has exactly one subset, making option B correct.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
The empty set has zero elements, so the general formula gives 2⁰ = 1 subset. That one subset is ∅ itself. Although it contains no elements, it is still a set and is considered a subset of every set, including itself. Therefore the empty set has exactly one subset, making option B correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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