In a sports camp there are 55 students. Of these, 30 take part in running, 22 in swimming, and 8 in both activities. How many students take part only in swimming?
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Answer and explanation
Correct answer: 14
The total of 22 swimming participants includes the 8 students who participate in both running and swimming. To isolate the swimming-only region, subtract the overlap: n(only swimming) = n(swimming) − n(running ∩ swimming) = 22 − 8 = 14. Thus, 14 students participate only in swimming.
Frequently asked questions
What is the correct answer to this question?
14
Why is this the correct answer?
The total of 22 swimming participants includes the 8 students who participate in both running and swimming. To isolate the swimming-only region, subtract the overlap: n(only swimming) = n(swimming) − n(running ∩ swimming) = 22 − 8 = 14. Thus, 14 students participate only in swimming.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
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