What are the actual distinct elements of the set E = {1, 1, 2, 2, 3}?
Answer and explanation
Correct answer: {1, 2, 3}
In set notation, an element is recorded only once, even if it appears repeatedly in the description. The repeated 1 and repeated 2 do not create additional elements. After removing duplicates, E is written as {1, 2, 3}. Thus the distinct-element list is option B, and the set has cardinality 3.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 3}
Why is this the correct answer?
In set notation, an element is recorded only once, even if it appears repeatedly in the description. The repeated 1 and repeated 2 do not create additional elements. After removing duplicates, E is written as {1, 2, 3}. Thus the distinct-element list is option B, and the set has cardinality 3.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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