If A = {a, b, c, d, e}, how many subsets in P(A) contain at least one of a or b?
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Answer and explanation
Correct answer: 24
The total number of subsets of A is 2^5 = 32. It is easier to count the complement: subsets containing neither a nor b. Such subsets can use only c, d, and e, giving 2^3 = 8 subsets. Therefore, subsets containing at least one of a or b equal 32 - 8 = 24. Option C is correct.
Frequently asked questions
What is the correct answer to this question?
24
Why is this the correct answer?
The total number of subsets of A is 2^5 = 32. It is easier to count the complement: subsets containing neither a nor b. Such subsets can use only c, d, and e, giving 2^3 = 8 subsets. Therefore, subsets containing at least one of a or b equal 32 - 8 = 24. 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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