If A = {4,6,8}, how many elements are in P(A)?
Answer and explanation
Correct answer: 8
The set A contains three distinct elements. Each element has two independent possibilities when forming a subset: it may be included or excluded. Therefore the total number of subsets, and hence the number of elements in the power set, is 2^3 = 8. These include the empty set, three singleton subsets, three two-element subsets, and the original set itself. Thus option C is correct.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
The set A contains three distinct elements. Each element has two independent possibilities when forming a subset: it may be included or excluded. Therefore the total number of subsets, and hence the number of elements in the power set, is 2^3 = 8. These include the empty set, three singleton subsets, three two-element subsets, and the original set itself. Thus 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.
