If A = {4,4,5,6,6,7} is considered as a set, what is n(P(A))?
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Answer and explanation
Correct answer: 16
Repeated entries do not create new elements in a set. Therefore, A = {4,4,5,6,6,7} is the same set as {4,5,6,7}, which has 4 distinct elements. A set with 4 elements has 2⁴ subsets in its power set. Hence n(P(A)) = 16, so option B is correct. Counting the displayed entries as six different elements would be an error.
Frequently asked questions
What is the correct answer to this question?
16
Why is this the correct answer?
Repeated entries do not create new elements in a set. Therefore, A = {4,4,5,6,6,7} is the same set as {4,5,6,7}, which has 4 distinct elements. A set with 4 elements has 2⁴ subsets in its power set. Hence n(P(A)) = 16, so option B is correct. Counting the displayed entries as six different elements would be an error.
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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