If A = {5, 10, 15}, how many subsets of P(A) do not contain 15?
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Answer and explanation
Correct answer: 4
A subset that does not contain 15 can use only the remaining elements, 5 and 10. Each of these two elements has two independent choices: it may be included or excluded. Therefore, the number of permitted subsets is 2^2 = 4. They are ∅, {5}, {10}, and {5, 10}. Hence, 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 15 can use only the remaining elements, 5 and 10. Each of these two elements has two independent choices: it may be included or excluded. Therefore, the number of permitted subsets is 2^2 = 4. They are ∅, {5}, {10}, and {5, 10}. Hence, 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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