If n(A)=44 and n(A∩B)=19, how many elements are only in set A in a Venn diagram?
Advertisement
Answer and explanation
Correct answer: 25
The total n(A)=44 includes two parts: the region only in A and the common region A∩B. Therefore, the only-A region is found by subtracting the overlap from the total of A: n(A only)=n(A)−n(A∩B)=44−19=25. The value 19 is the intersection, while 44 includes both parts. Hence option B is correct.
Frequently asked questions
What is the correct answer to this question?
25
Why is this the correct answer?
The total n(A)=44 includes two parts: the region only in A and the common region A∩B. Therefore, the only-A region is found by subtracting the overlap from the total of A: n(A only)=n(A)−n(A∩B)=44−19=25. The value 19 is the intersection, while 44 includes both parts. Hence option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
Advertisement