Which statement is correct for A = {1, 2, 2, 3, 3, 3}?
Answer and explanation
Correct answer: A = {1, 2, 3}.
In a set, repetition of an element does not create a new element. The repeated 2s and 3s are therefore written only once when the set is simplified. The distinct elements are 1, 2, and 3, so A = {1, 2, 3} and its cardinality is 3, not 6. It is neither empty nor infinite. Hence option B is correct.
Frequently asked questions
What is the correct answer to this question?
A = {1, 2, 3}.
Why is this the correct answer?
In a set, repetition of an element does not create a new element. The repeated 2s and 3s are therefore written only once when the set is simplified. The distinct elements are 1, 2, and 3, so A = {1, 2, 3} and its cardinality is 3, not 6. It is neither empty nor infinite. Hence option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
