How many subsets does the set A = {1, 3, 5} have?
Answer and explanation
Correct answer: 8
A finite set with n distinct elements has 2ⁿ subsets. Each element has two independent choices in forming a subset: it is either included or excluded. Here A = {1, 3, 5} has n = 3 elements, so the number of subsets is 2³ = 2 × 2 × 2 = 8. These include the empty set, three one-element subsets, three two-element subsets, and the full set.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
A finite set with n distinct elements has 2ⁿ subsets. Each element has two independent choices in forming a subset: it is either included or excluded. Here A = {1, 3, 5} has n = 3 elements, so the number of subsets is 2³ = 2 × 2 × 2 = 8. These include the empty set, three one-element subsets, three two-element subsets, and the full set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
