If A = {2, 2, 4, 4, 6, 8, 8, 10}, how many distinct elements does A have?
Answer and explanation
Correct answer: 5
A set contains unique elements only; repeating an element in its listing does not increase the set’s cardinality. Removing the repeated 2, 4, and 8 gives A = {2, 4, 6, 8, 10}. These are five different numbers, so |A| = 5. Therefore, option B is correct. Options A, C, and D result from counting incompletely or counting repeated entries incorrectly.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
A set contains unique elements only; repeating an element in its listing does not increase the set’s cardinality. Removing the repeated 2, 4, and 8 gives A = {2, 4, 6, 8, 10}. These are five different numbers, so |A| = 5. Therefore, option B is correct. Options A, C, and D result from counting incompletely or counting repeated entries incorrectly.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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