If G={a,b,c}, what is the value of n(G)?
Answer and explanation
Correct answer: 3
The governing concept is cardinality: n(G) means the number of distinct elements in set G. The set G contains a, b, and c, and these are three different symbols. Set notation does not count the braces, commas, or possible arrangements, and the order of elements is irrelevant. Thus n(G)=3. Option A undercounts, while options C and D add elements that are not present, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The governing concept is cardinality: n(G) means the number of distinct elements in set G. The set G contains a, b, and c, and these are three different symbols. Set notation does not count the braces, commas, or possible arrangements, and the order of elements is irrelevant. Thus n(G)=3. Option A undercounts, while options C and D add elements that are not present, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions.
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