If \(A=\{\{2\},4,6\}\), what is \(n(A)\)?
Answer and explanation
Correct answer: 3
Cardinality counts the elements at the outermost level of a set. In \(A=\{\{2\},4,6\}\), the first element is the set \(\{2\}\) itself, the second element is 4, and the third element is 6. The number 2 is inside the first element and is not a separate outer element of \(A\). Therefore \(A\) has three elements and \(n(A)=3\), making option B correct.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Cardinality counts the elements at the outermost level of a set. In \(A=\{\{2\},4,6\}\), the first element is the set \(\{2\}\) itself, the second element is 4, and the third element is 6. The number 2 is inside the first element and is not a separate outer element of \(A\). Therefore \(A\) has three elements and \(n(A)=3\), making option B correct.
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.
