COMEDK · Maths · 20. Sets and Relations
If a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100 , Physics 70 , Chemistry 40 . Mathematics and Physics 30 , Mathematics and Chemistry 28, Physics and Chemistry 23, Mathematics, Physics and Chemistry 18 . The number of students who have opted Mathematics alone is
- A 35
- B 48
- C 60
- D 22
Answer & Solution
Correct Answer
(C) 60
Step-by-step Solution
Detailed explanation
Let \(M, P\) and \(C\) be the set of students who opted Mathematics, Physics and Chemistry respectively. Then, \(n(M)=100, n(P)=70, n(C)=40\) \(n(M \cap P)=30, n(M \cap C)=28, n(P \cap C)=23\), \(n(M \cap P \cap C)=18\) Number of students who opted Mathematics alone…
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