If the universal set U contains 60 students and set A contains 18 students who learn music, how many students do not learn music?
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Answer and explanation
Correct answer: 42
Students who do not learn music are represented by the complement Aᶜ of the set A of music learners. Assuming A is a subset of the universal group U, the number of students in the complement is n(Aᶜ) = n(U) − n(A). Substituting the given values gives 60 − 18 = 42. Therefore, 42 students do not learn music.
Frequently asked questions
What is the correct answer to this question?
42
Why is this the correct answer?
Students who do not learn music are represented by the complement Aᶜ of the set A of music learners. Assuming A is a subset of the universal group U, the number of students in the complement is n(Aᶜ) = n(U) − n(A). Substituting the given values gives 60 − 18 = 42. Therefore, 42 students do not learn music.
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.
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