If A = {1, 2, 3, 4, 5, 6}, how many subsets of A can be formed using only even numbers?
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Answer and explanation
Correct answer: 8
The even elements in A are 2, 4, and 6. A subset formed using only even numbers may contain any selection of these three elements, including the empty subset. Each element has two independent choices—selected or not selected—so the number of subsets is 2³ = 8. Therefore, option C is correct.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
The even elements in A are 2, 4, and 6. A subset formed using only even numbers may contain any selection of these three elements, including the empty subset. Each element has two independent choices—selected or not selected—so the number of subsets is 2³ = 8. Therefore, 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.
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