If A has 3 elements, how many elements of P(A) are singleton subsets of A?
Advertisement
Answer and explanation
Correct answer: 3
A singleton subset contains exactly one element. To form a singleton subset of A, we choose one element from the three elements of A. Thus the singleton subsets are of the form {a}, {b}, and {c} if A={a,b,c}. There are exactly 3 such subsets, and each is an element of P(A).
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
A singleton subset contains exactly one element. To form a singleton subset of A, we choose one element from the three elements of A. Thus the singleton subsets are of the form {a}, {b}, and {c} if A={a,b,c}. There are exactly 3 such subsets, and each is an element of P(A).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
Advertisement