How many subsets does a set with three elements have?
Answer and explanation
Correct answer: 8
For a set with n elements, each element has two independent choices when forming a subset: it is either included or excluded. Therefore the total number of subsets is 2^n. With n = 3, the number is 2^3 = 8. This count includes the empty set and the original set itself. The value 7 would omit one of these, while 6 counts only non-empty proper subsets. Hence option C is correct.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
For a set with n elements, each element has two independent choices when forming a subset: it is either included or excluded. Therefore the total number of subsets is 2^n. With n = 3, the number is 2^3 = 8. This count includes the empty set and the original set itself. The value 7 would omit one of these, while 6 counts only non-empty proper subsets. Hence option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
