Which of the following sets is equal to {0}?
Answer and explanation
Correct answer: {0,0,0}
A set records distinct elements only once, so repeated writing does not increase its membership. The set {0,0,0} therefore contains just one distinct element, namely 0. It is exactly the same set as {0}. The empty set has no elements, and {1} contains 1 rather than 0, so neither of those is equal to {0}.
Frequently asked questions
What is the correct answer to this question?
{0,0,0}
Why is this the correct answer?
A set records distinct elements only once, so repeated writing does not increase its membership. The set {0,0,0} therefore contains just one distinct element, namely 0. It is exactly the same set as {0}. The empty set has no elements, and {1} contains 1 rather than 0, so neither of those is equal to {0}.
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.
