If A = {a, e, i, o, u}, how many singleton subsets are there in P(A)?
Answer and explanation
Correct answer: 5
A singleton subset contains exactly one element. Since A contains five distinct elements— a, e, i, o, and u—each element produces one singleton subset: {a}, {e}, {i}, {o}, and {u}. Thus P(A) contains exactly 5 singleton subsets. The total number of subsets is 2⁵ = 32, but the question asks only for subsets having one element, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
A singleton subset contains exactly one element. Since A contains five distinct elements— a, e, i, o, and u—each element produces one singleton subset: {a}, {e}, {i}, {o}, and {u}. Thus P(A) contains exactly 5 singleton subsets. The total number of subsets is 2⁵ = 32, but the question asks only for subsets having one element, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
