If A = {a, b}, how many elements does the power set P(A) have?
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Answer and explanation
Correct answer: 4
A set containing n elements has 2^n subsets, because each element can either be included in or excluded from a subset. Here A has two elements, a and b. Its power set is P(A) = {∅, {a}, {b}, {a, b}}, which contains four elements. Therefore, option C is correct.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
A set containing n elements has 2^n subsets, because each element can either be included in or excluded from a subset. Here A has two elements, a and b. Its power set is P(A) = {∅, {a}, {b}, {a, b}}, which contains four elements. Therefore, option C is correct.
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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