If A = B and A = {5, 6, 7, 8}, what is n(B)?
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Answer and explanation
Correct answer: 4
Two sets are equal exactly when they contain the same elements. Since A = B and A contains the four distinct elements 5, 6, 7, and 8, set B must contain precisely those same four elements. The notation n(B) denotes the cardinality, or number of elements, of B. Therefore n(B) = 4, making option C correct.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
Two sets are equal exactly when they contain the same elements. Since A = B and A contains the four distinct elements 5, 6, 7, and 8, set B must contain precisely those same four elements. The notation n(B) denotes the cardinality, or number of elements, of B. Therefore n(B) = 4, making option C correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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