If A = {12, 24, 36}, how many subsets in P(A) do not contain 36?
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Answer and explanation
Correct answer: 4
A subset that does not contain 36 may use only the other two elements, 12 and 24. Each of these elements can be included or excluded independently, giving 2^2 = 4 possibilities. The subsets are ∅, {12}, {24}, and {12, 24}. Thus exactly four subsets of P(A) do not contain 36, so option C is correct.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
A subset that does not contain 36 may use only the other two elements, 12 and 24. Each of these elements can be included or excluded independently, giving 2^2 = 4 possibilities. The subsets are ∅, {12}, {24}, and {12, 24}. Thus exactly four subsets of P(A) do not contain 36, so 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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