If A = {a, b, c}, what is the total number of subsets of A?
Answer and explanation
Correct answer: 8
For a finite set with n distinct elements, each element has two independent choices when forming a subset: it may be included or excluded. Therefore, the total number of subsets is 2ⁿ. Here n = 3, so the number is 2³ = 8. These include the empty set, the three one-element subsets, the three two-element subsets, and A itself.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
For a finite set with n distinct elements, each element has two independent choices when forming a subset: it may be included or excluded. Therefore, the total number of subsets is 2ⁿ. Here n = 3, so the number is 2³ = 8. These include the empty set, the three one-element subsets, the three two-element subsets, and A itself.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
