If n(A)=17, n(B)=12, and n(A∩B)=0, how are A and B represented in the Venn diagram?
Answer and explanation
Correct answer: Disjoint
The condition n(A∩B)=0 means that A and B have no common element. In a Venn diagram, their circles therefore do not overlap; such sets are called disjoint or mutually exclusive. They cannot be equal because their cardinalities are different. Neither set is necessarily a subset or a complement based only on the information given. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
Disjoint
Why is this the correct answer?
The condition n(A∩B)=0 means that A and B have no common element. In a Venn diagram, their circles therefore do not overlap; such sets are called disjoint or mutually exclusive. They cannot be equal because their cardinalities are different. Neither set is necessarily a subset or a complement based only on the information given. 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.
