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Class 12MathematicsSetsEasyLevel 10
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In a class of 60 students, 34 study Mathematics, 28 study Physics, and 12 study both. How many students study only Mathematics?

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Answer and explanation

Correct answer: 22

Let M be the set of students studying Mathematics and P the set studying Physics. The 34 students in M include the 12 students who study both subjects. Therefore, the students studying only Mathematics are n(M − P) = n(M) − n(M ∩ P) = 34 − 12 = 22. The total class size and the Physics-only group are not needed for this calculation.

Related tags

SetsWord-ProblemSet-DifferenceIntersectionMathematicsClass 12 Mcq

Frequently asked questions

What is the correct answer to this question?

22

Why is this the correct answer?

Let M be the set of students studying Mathematics and P the set studying Physics. The 34 students in M include the 12 students who study both subjects. Therefore, the students studying only Mathematics are n(M − P) = n(M) − n(M ∩ P) = 34 − 12 = 22. The total class size and the Physics-only group are not needed for this calculation.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Sets.

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