If A = {a, e, i}, how many three-element subsets are in P(A)?
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Answer and explanation
Correct answer: 1
The set A has exactly three elements: a, e, and i. A three-element subset must contain all three elements, because omitting even one would leave only two elements. Thus the only three-element subset is A itself, namely {a, e, i}. Therefore, P(A) contains exactly one three-element subset, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
The set A has exactly three elements: a, e, and i. A three-element subset must contain all three elements, because omitting even one would leave only two elements. Thus the only three-element subset is A itself, namely {a, e, i}. Therefore, P(A) contains exactly one three-element subset, so option A 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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