If A = {x : x is a number written on a standard die}, how many elements are in A?
Answer and explanation
Correct answer: 6
The governing concept is the cardinality of a finite set. A standard die has six faces, conventionally marked with the distinct numbers 1, 2, 3, 4, 5, and 6. Thus the set of numbers written on it is A = {1, 2, 3, 4, 5, 6}, whose cardinality is 6. Option C is correct. The values 4 and 5 undercount the faces, while “infinitely many” is impossible for a finite die.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The governing concept is the cardinality of a finite set. A standard die has six faces, conventionally marked with the distinct numbers 1, 2, 3, 4, 5, and 6. Thus the set of numbers written on it is A = {1, 2, 3, 4, 5, 6}, whose cardinality is 6. Option C is correct. The values 4 and 5 undercount the faces, while “infinitely many” is impossible for a finite die.
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.
