If A has 5 elements, how many elements of P(A) are singleton sets?
Answer and explanation
Correct answer: 5
A singleton subset contains exactly one element. To form a singleton subset of A, we simply choose one element from the five elements of A. The number of choices is C(5,1) = 5. Each chosen element produces one distinct singleton subset, and all of these subsets are elements of P(A). Therefore, P(A) contains exactly 5 singleton sets, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
A singleton subset contains exactly one element. To form a singleton subset of A, we simply choose one element from the five elements of A. The number of choices is C(5,1) = 5. Each chosen element produces one distinct singleton subset, and all of these subsets are elements of P(A). Therefore, P(A) contains exactly 5 singleton sets, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
