If A ⊆ B, n(A) = 46, n(B) = 108, and n(U) = 150, what is n(Bᶜ)?
Answer and explanation
Correct answer: 42
The complement Bᶜ contains every element of the universal set U that is not an element of B. Therefore, the complement formula gives n(Bᶜ) = n(U) − n(B) = 150 − 108 = 42. The information A ⊆ B is not needed for this calculation; it only describes the relationship between A and B. Thus, option A is the only correct answer.
Frequently asked questions
What is the correct answer to this question?
42
Why is this the correct answer?
The complement Bᶜ contains every element of the universal set U that is not an element of B. Therefore, the complement formula gives n(Bᶜ) = n(U) − n(B) = 150 − 108 = 42. The information A ⊆ B is not needed for this calculation; it only describes the relationship between A and B. Thus, option A is the only correct answer.
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.
