If A = {1,2,3,4,5,6}, how many subsets in P(A) contain at least one of 1 or 2?
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Answer and explanation
Correct answer: 48
A set with six elements has 2^6 = 64 subsets. To count subsets containing 1 or 2, use the complement: subsets containing neither 1 nor 2 can choose freely only from {3,4,5,6}, giving 2^4 = 16. Therefore the required number is 64 - 16 = 48. Option A is correct.
Frequently asked questions
What is the correct answer to this question?
48
Why is this the correct answer?
A set with six elements has 2^6 = 64 subsets. To count subsets containing 1 or 2, use the complement: subsets containing neither 1 nor 2 can choose freely only from {3,4,5,6}, giving 2^4 = 16. Therefore the required number is 64 - 16 = 48. Option A 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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