If A = {6, 12}, what are all the elements of the power set P(A)?
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Answer and explanation
Correct answer: {∅, {6}, {12}, {6, 12}}
The power set P(A) is the set of every subset of A. For A = {6, 12}, the subsets are the empty set ∅, the singleton sets {6} and {12}, and the complete set {6, 12}. Therefore P(A) = {∅, {6}, {12}, {6, 12}}. Since A has two elements, it must have 2² = 4 subsets.
Frequently asked questions
What is the correct answer to this question?
{∅, {6}, {12}, {6, 12}}
Why is this the correct answer?
The power set P(A) is the set of every subset of A. For A = {6, 12}, the subsets are the empty set ∅, the singleton sets {6} and {12}, and the complete set {6, 12}. Therefore P(A) = {∅, {6}, {12}, {6, 12}}. Since A has two elements, it must have 2² = 4 subsets.
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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