If in a class n(U) = 45 and n(A) = 28, what does n(Aᶜ) mean?
Answer and explanation
Correct answer: The number of students who are not in A
The complement Aᶜ contains all elements of the universal set U that do not belong to A. Therefore, n(Aᶜ) means the number of students in the class who are not included in A. Numerically, n(Aᶜ) = n(U) − n(A) = 45 − 28 = 17. Thus, option A gives the correct meaning as well as the resulting count.
Frequently asked questions
What is the correct answer to this question?
The number of students who are not in A
Why is this the correct answer?
The complement Aᶜ contains all elements of the universal set U that do not belong to A. Therefore, n(Aᶜ) means the number of students in the class who are not included in A. Numerically, n(Aᶜ) = n(U) − n(A) = 45 − 28 = 17. Thus, option A gives the correct meaning as well as the resulting count.
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.
