If A = {p, q, r, s}, how many subsets contain at least one of p or q?
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Answer and explanation
Correct answer: 12
A four-element set has 2⁴ = 16 total subsets. To count subsets containing at least one of p or q, subtract the subsets containing neither. If p and q are both absent, r and s remain free, giving 2² = 4 subsets. Hence the required number is 16 − 4 = 12. This includes subsets containing p, q, or both.
Frequently asked questions
What is the correct answer to this question?
12
Why is this the correct answer?
A four-element set has 2⁴ = 16 total subsets. To count subsets containing at least one of p or q, subtract the subsets containing neither. If p and q are both absent, r and s remain free, giving 2² = 4 subsets. Hence the required number is 16 − 4 = 12. This includes subsets containing p, q, or both.
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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