Which statement about U = {0, 1, 1, 2, 2, 2, 3} is correct?
Answer and explanation
Correct answer: U = {0, 1, 2, 3} and it has 4 distinct elements
A set records membership, not the number of times an element is written. Thus, repeated entries of 1 and 2 do not create new elements. Removing repetitions gives U = {0, 1, 2, 3}. Its cardinality is therefore 4, because there are four distinct elements. Zero is a valid element of a set and must be counted. Hence option A is the only correct statement.
Frequently asked questions
What is the correct answer to this question?
U = {0, 1, 2, 3} and it has 4 distinct elements
Why is this the correct answer?
A set records membership, not the number of times an element is written. Thus, repeated entries of 1 and 2 do not create new elements. Removing repetitions gives U = {0, 1, 2, 3}. Its cardinality is therefore 4, because there are four distinct elements. Zero is a valid element of a set and must be counted. Hence option A is the only correct statement.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
