If A = B and n(A) = 5, what is the value of n(B)?
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Answer and explanation
Correct answer: 5
Equal sets contain exactly the same elements. Consequently, they must have the same cardinality, regardless of the order in which their elements are written. Since A = B, we can write n(A) = n(B). The given value n(A) = 5 therefore immediately gives n(B) = 5. No additional information is needed.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Equal sets contain exactly the same elements. Consequently, they must have the same cardinality, regardless of the order in which their elements are written. Since A = B, we can write n(A) = n(B). The given value n(A) = 5 therefore immediately gives n(B) = 5. No additional information is needed.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
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