If A = {a, b, c}, how many zero-element (empty) subsets are there in P(A)?
Answer and explanation
Correct answer: 1
A zero-element subset means the empty set ∅. Every set, including A and its power set P(A), has exactly one empty subset. Thus P(A) contains ∅ as one of its elements, and the number of zero-element subsets is exactly 1. The value 8 is the total number of subsets of A because A has three elements, not the number of empty subsets.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
A zero-element subset means the empty set ∅. Every set, including A and its power set P(A), has exactly one empty subset. Thus P(A) contains ∅ as one of its elements, and the number of zero-element subsets is exactly 1. The value 8 is the total number of subsets of A because A has three elements, not the number of empty subsets.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
