If A = {2, 4, 6}, how many subsets of P(A) will include {2, 4}?
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Answer and explanation
Correct answer: 2
We need to count the subsets of A that contain both 2 and 4. These two elements are compulsory, while the remaining element 6 is optional. If 6 is excluded, the subset is {2, 4}; if 6 is included, the subset is {2, 4, 6}. Therefore there are 2^1 = 2 valid subsets, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
We need to count the subsets of A that contain both 2 and 4. These two elements are compulsory, while the remaining element 6 is optional. If 6 is excluded, the subset is {2, 4}; if 6 is included, the subset is {2, 4, 6}. Therefore there are 2^1 = 2 valid subsets, so option B 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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