If A = {a, b, c, d, e, f}, how many subsets in P(A) contain both a and b?
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Answer and explanation
Correct answer: 16
The elements a and b are required, so they are fixed as included in every valid subset. The remaining four elements, c, d, e, and f, are unrestricted. Each of these four elements has two independent choices: include it or exclude it. Therefore, the number of valid subsets is 2^4 = 16, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
16
Why is this the correct answer?
The elements a and b are required, so they are fixed as included in every valid subset. The remaining four elements, c, d, e, and f, are unrestricted. Each of these four elements has two independent choices: include it or exclude it. Therefore, the number of valid subsets is 2^4 = 16, 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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