If A = {a, b, c, d}, which of the following elements of the power set P(A) is a four-element subset?
Answer and explanation
Correct answer: {a, b, c, d}
The power set P(A) consists of every subset of A, including the empty set and A itself. A four-element subset must contain exactly four distinct elements. Among the choices, ∅ has zero elements, {a, b} has two, and {a, b, c} has three. The set {a, b, c, d} contains all four elements and is A itself, so it is the required member of P(A).
Frequently asked questions
What is the correct answer to this question?
{a, b, c, d}
Why is this the correct answer?
The power set P(A) consists of every subset of A, including the empty set and A itself. A four-element subset must contain exactly four distinct elements. Among the choices, ∅ has zero elements, {a, b} has two, and {a, b, c} has three. The set {a, b, c, d} contains all four elements and is A itself, so it is the required member of P(A).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
