Which option is an element of the power set of {1, 2, 3}?
Answer and explanation
Correct answer: {1, 3}
The power set of a set is the set of all its subsets. Therefore, an element of P({1, 2, 3}) must itself be a set whose every element comes from {1, 2, 3}. The set {1, 3} satisfies this condition, so it belongs to the power set. The single number 1 is not written as a subset here, and 4 is not in the original set.
Frequently asked questions
What is the correct answer to this question?
{1, 3}
Why is this the correct answer?
The power set of a set is the set of all its subsets. Therefore, an element of P({1, 2, 3}) must itself be a set whose every element comes from {1, 2, 3}. The set {1, 3} satisfies this condition, so it belongs to the power set. The single number 1 is not written as a subset here, and 4 is not in the original set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
