If A = {1,2,3,4}, how many members of P(A) are singleton sets?
Answer and explanation
Correct answer: 4
A singleton set is a set containing exactly one element. The singleton members of P(A) are {1}, {2}, {3}, and {4}, one for each element of A. Therefore, a set with 4 elements has exactly 4 singleton subsets. The empty set is not a singleton because it contains no elements, while larger subsets contain more than one element. Hence option C is correct.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
A singleton set is a set containing exactly one element. The singleton members of P(A) are {1}, {2}, {3}, and {4}, one for each element of A. Therefore, a set with 4 elements has exactly 4 singleton subsets. The empty set is not a singleton because it contains no elements, while larger subsets contain more than one element. Hence option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
