If A = {2, 4, 6, 8}, how many zero-element subsets are in P(A)?
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Answer and explanation
Correct answer: 1
A zero-element subset is a subset containing no elements. There is exactly one such subset for every set: the empty set, written as ∅. Since ∅ is always a member of the power set P(A), P(A) contains exactly one zero-element subset, regardless of the fact that A itself has four elements.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
A zero-element subset is a subset containing no elements. There is exactly one such subset for every set: the empty set, written as ∅. Since ∅ is always a member of the power set P(A), P(A) contains exactly one zero-element subset, regardless of the fact that A itself has four elements.
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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