If A = {1,2,3}, how many members of P(A) are themselves singleton sets?
Answer and explanation
Correct answer: 3
The power set P(A) contains every subset of A. A singleton set is a set containing exactly one element. The singleton subsets of A are {1}, {2}, and {3}; there are no others because A has only three distinct elements. The empty set has zero elements and is not a singleton, while larger subsets contain more than one element. Therefore, the answer is 3, option C.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The power set P(A) contains every subset of A. A singleton set is a set containing exactly one element. The singleton subsets of A are {1}, {2}, and {3}; there are no others because A has only three distinct elements. The empty set has zero elements and is not a singleton, while larger subsets contain more than one element. Therefore, the answer is 3, option C.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
