Among 90 students, 43 like Chemistry, 39 like Biology, and 18 like both subjects. How many like neither subject?
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Answer and explanation
Correct answer: 26
First find the number who like at least one subject: n(C∪B)=n(C)+n(B)−n(C∩B)=43+39−18=64. The students who like neither subject are outside this union. Hence neither = total students−students liking at least one subject=90−64=26. Therefore, option B is correct.
Frequently asked questions
What is the correct answer to this question?
26
Why is this the correct answer?
First find the number who like at least one subject: n(C∪B)=n(C)+n(B)−n(C∩B)=43+39−18=64. The students who like neither subject are outside this union. Hence neither = total students−students liking at least one subject=90−64=26. Therefore, option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
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