If H = {1, 2, 2, 3, 3, 3}, how many distinct elements are actually in the set H?
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Answer and explanation
Correct answer: 3
In a set, repetition of an element does not create a new element. The displayed members reduce to the distinct values 1, 2, and 3, so H can be written as {1, 2, 3}. Its cardinality, or number of distinct elements, is therefore 3. The repeated appearances of 2 and 3 must not be counted again.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
In a set, repetition of an element does not create a new element. The displayed members reduce to the distinct values 1, 2, and 3, so H can be written as {1, 2, 3}. Its cardinality, or number of distinct elements, is therefore 3. The repeated appearances of 2 and 3 must not be counted again.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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