How many distinct elements are actually in H = {1, 2, 2, 3, 3, 3}?
Answer and explanation
Correct answer: 3
In a set, repeating an element does not create a new element. The displayed collection contains only the distinct values 1, 2, and 3, even though some are written several times. Therefore n(H) = 3. Counting every written occurrence would give 6, but that is not how set cardinality is defined, so option C is unsuitable.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
In a set, repeating an element does not create a new element. The displayed collection contains only the distinct values 1, 2, and 3, even though some are written several times. Therefore n(H) = 3. Counting every written occurrence would give 6, but that is not how set cardinality is defined, so option C is unsuitable.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions.
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