If A = {2, 2, 4, 4, 6}, how many distinct elements are there in A?
Answer and explanation
Correct answer: 3
In set notation, repetition does not create additional elements. Although the displayed list contains five entries, the values 2 and 4 are each repeated. After removing repetitions, A = {2, 4, 6}. These are three different elements, so the cardinality of A, written as n(A) or |A|, is 3. Therefore, option C is correct.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
In set notation, repetition does not create additional elements. Although the displayed list contains five entries, the values 2 and 4 are each repeated. After removing repetitions, A = {2, 4, 6}. These are three different elements, so the cardinality of A, written as n(A) or |A|, is 3. Therefore, option C is correct.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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