The set N={4,4,4,6,6} is actually equal to which set?
Answer and explanation
Correct answer: N={4,6}
A fundamental property of sets is that repetition does not create new elements. The three occurrences of 4 represent one distinct element, and the two occurrences of 6 represent another. Removing repeated copies therefore gives N={4,6}, which has cardinality 2. It is not a five-element set, and deleting either 4 or 6 would change the collection. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
N={4,6}
Why is this the correct answer?
A fundamental property of sets is that repetition does not create new elements. The three occurrences of 4 represent one distinct element, and the two occurrences of 6 represent another. Removing repeated copies therefore gives N={4,6}, which has cardinality 2. It is not a five-element set, and deleting either 4 or 6 would change the collection. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
