In a class of 65 students, 34 study Sanskrit, 27 study Computer, and 11 study both. How many study at least one of the two subjects?
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Answer and explanation
Correct answer: 50
Students studying at least one subject are counted by the union formula: n(S ∪ C) = n(S) + n(C) − n(S ∩ C). Substituting the values gives 34 + 27 − 11 = 50. The 11 students studying both are subtracted once because they were initially counted twice. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
50
Why is this the correct answer?
Students studying at least one subject are counted by the union formula: n(S ∪ C) = n(S) + n(C) − n(S ∩ C). Substituting the values gives 34 + 27 − 11 = 50. The 11 students studying both are subtracted once because they were initially counted twice. Hence option A 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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