If A = {a, b, c}, which of the following is NOT an element of P(A)?
Answer and explanation
Correct answer: a
The power set P(A) contains every subset of A, including the empty set, all one-element subsets, all two-element subsets, and A itself. Options {a,b}, ∅, and {c} are subsets of A, so they belong to P(A). However, a without braces is an element of A, not a subset of A. Therefore, a is not an element of the power set. Braces are important: {a} is a subset, whereas a is only an element.
Frequently asked questions
What is the correct answer to this question?
a
Why is this the correct answer?
The power set P(A) contains every subset of A, including the empty set, all one-element subsets, all two-element subsets, and A itself. Options {a,b}, ∅, and {c} are subsets of A, so they belong to P(A). However, a without braces is an element of A, not a subset of A. Therefore, a is not an element of the power set. Braces are important: {a} is a subset, whereas a is only an element.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
