If A = {1, 2, 3}, how many total subsets does A have?
Answer and explanation
Correct answer: 8
The set A = {1, 2, 3} contains three distinct elements. For a set with n elements, every element has two choices while forming a subset: include it or leave it out. Hence the total number is 2ⁿ = 2³ = 8. These include the empty set, three one-element subsets, three two-element subsets, and A itself. Thus option C is correct.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
The set A = {1, 2, 3} contains three distinct elements. For a set with n elements, every element has two choices while forming a subset: include it or leave it out. Hence the total number is 2ⁿ = 2³ = 8. These include the empty set, three one-element subsets, three two-element subsets, and A itself. Thus option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
