If A = {1, 2}, how many elements does the power set of A have?
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Answer and explanation
Correct answer: 4
A power set contains every subset of the original set, including the empty set and the set itself. For a set with n elements, the number of subsets is 2^n because each element can either be included or excluded. Here A has 2 elements, so |P(A)| = 2^2 = 4. The subsets are ∅, {1}, {2}, and {1, 2}.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
A power set contains every subset of the original set, including the empty set and the set itself. For a set with n elements, the number of subsets is 2^n because each element can either be included or excluded. Here A has 2 elements, so |P(A)| = 2^2 = 4. The subsets are ∅, {1}, {2}, and {1, 2}.
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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