If A = {m, n, o, p}, how many singleton sets are there in P(A)?
Answer and explanation
Correct answer: 4
A singleton subset contains exactly one element. Since A has four distinct elements, the singleton subsets of A are {m}, {n}, {o}, and {p}. Therefore, P(A), which contains every subset of A, contains exactly four singleton sets. The formula 2^n counts all subsets, but singleton subsets specifically are counted by choosing one element from n elements, namely C(4,1) = 4.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
A singleton subset contains exactly one element. Since A has four distinct elements, the singleton subsets of A are {m}, {n}, {o}, and {p}. Therefore, P(A), which contains every subset of A, contains exactly four singleton sets. The formula 2^n counts all subsets, but singleton subsets specifically are counted by choosing one element from n elements, namely C(4,1) = 4.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
