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