If n(A) = 44 and n(A ∩ B) = 18, how many elements are only in A?
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Answer and explanation
Correct answer: 26
The total number of elements in A includes both the elements only in A and the elements common to A and B. Therefore, the number only in A is n(A) − n(A ∩ B) = 44 − 18 = 26. Hence option B is correct. The value 18 represents the intersection, while 44 represents all of A, not just its exclusive region.
Frequently asked questions
What is the correct answer to this question?
26
Why is this the correct answer?
The total number of elements in A includes both the elements only in A and the elements common to A and B. Therefore, the number only in A is n(A) − n(A ∩ B) = 44 − 18 = 26. Hence option B is correct. The value 18 represents the intersection, while 44 represents all of A, not just its exclusive region.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
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