If A = {a,b,c}, how many elements of P(A) are disjoint from A?
Advertisement
Answer and explanation
Correct answer: 1
P(A) consists of all subsets of A: ∅, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, and {a,b,c}. A subset is disjoint from A only when it has no element in common with A. Since every non-empty subset listed contains elements of A, only the empty set qualifies. Hence the number is 1, option A.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
P(A) consists of all subsets of A: ∅, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, and {a,b,c}. A subset is disjoint from A only when it has no element in common with A. Since every non-empty subset listed contains elements of A, only the empty set qualifies. Hence the number is 1, option A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
Advertisement