If A = {1, 2, 3}, then how many elements are in P(A)?
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Answer and explanation
Correct answer: 8
The power set P(A) contains every subset of A, including the empty set and A itself. If a finite set has n elements, then it has 2ⁿ subsets because each element has two independent choices: it is either included or excluded. Here n = 3, so |P(A)| = 2³ = 8. Therefore, option C is the correct answer.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
The power set P(A) contains every subset of A, including the empty set and A itself. If a finite set has n elements, then it has 2ⁿ subsets because each element has two independent choices: it is either included or excluded. Here n = 3, so |P(A)| = 2³ = 8. Therefore, option C is the correct answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
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