For the set A = {1, 1, 2, 2, 3, 4, 4}, what is n(A)?
Answer and explanation
Correct answer: 4
In a set, repeated occurrences of an element are counted only once. Although seven entries are written, the distinct elements are 1, 2, 3, and 4. Thus the set can be written as A = {1, 2, 3, 4}. The notation n(A) denotes the cardinality, or number of distinct elements, of A. Therefore, n(A) = 4, making option A correct.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
In a set, repeated occurrences of an element are counted only once. Although seven entries are written, the distinct elements are 1, 2, 3, and 4. Thus the set can be written as A = {1, 2, 3, 4}. The notation n(A) denotes the cardinality, or number of distinct elements, of A. Therefore, n(A) = 4, making option A correct.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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