If X={1,2,3,4}, what is n(X)?
Answer and explanation
Correct answer: 4
The governing concept is cardinality, denoted by n(X), which counts the distinct elements of a set. X contains 1, 2, 3, and 4, and no element is repeated, so it has four distinct members. Therefore n(X)=4. Cardinality is not found by adding the elements; the sum 1+2+3+4=10 is irrelevant, so option D is a distractor rather than the answer.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The governing concept is cardinality, denoted by n(X), which counts the distinct elements of a set. X contains 1, 2, 3, and 4, and no element is repeated, so it has four distinct members. Therefore n(X)=4. Cardinality is not found by adding the elements; the sum 1+2+3+4=10 is irrelevant, so option D is a distractor rather than the answer.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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