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What are the subsets of A = {3}?
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Answer and explanation
Correct answer: ∅ and {3}
A = {3} is a singleton set because it has exactly one distinct element. A set with n elements has 2ⁿ subsets, so this set has 2¹ = 2 subsets. They are the empty set, ∅, and the set itself, {3}. Writing 3 twice does not create a new element because sets do not count repetition.
Frequently asked questions
What is the correct answer to this question?
∅ and {3}
Why is this the correct answer?
A = {3} is a singleton set because it has exactly one distinct element. A set with n elements has 2ⁿ subsets, so this set has 2¹ = 2 subsets. They are the empty set, ∅, and the set itself, {3}. Writing 3 twice does not create a new element because sets do not count repetition.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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