If \(U=\{0,1,2,3,4,5\}\) and \(A=\{0,1,5\}\), what is \(n(A')\)?
Answer and explanation
Correct answer: 3
The complement of A, written as A′, contains every element of the universal set U that is not present in A. From U = {0,1,2,3,4,5} and A = {0,1,5}, we get A′ = {2,3,4}. This set has three elements, so n(A′) = 3 and option B is correct. Equivalently, n(A′) = n(U) − n(A) = 6 − 3 = 3. Option D gives the size of U, not its complement.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The complement of A, written as A′, contains every element of the universal set U that is not present in A. From U = {0,1,2,3,4,5} and A = {0,1,5}, we get A′ = {2,3,4}. This set has three elements, so n(A′) = 3 and option B is correct. Equivalently, n(A′) = n(U) − n(A) = 6 − 3 = 3. Option D gives the size of U, not its complement.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
