How many zero-element subsets does A = {1, 2, 3, 4} have?
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Answer and explanation
Correct answer: 1
A zero-element subset contains no elements, so it must be the empty set ∅. There is exactly one empty set, and the empty set is a subset of every set, including A = {1, 2, 3, 4}. Therefore A has exactly one subset with zero elements. This also agrees with the formula for choosing zero elements: C(4,0) = 1.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
A zero-element subset contains no elements, so it must be the empty set ∅. There is exactly one empty set, and the empty set is a subset of every set, including A = {1, 2, 3, 4}. Therefore A has exactly one subset with zero elements. This also agrees with the formula for choosing zero elements: C(4,0) = 1.
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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