If A = {p, q, r}, how many one-element subsets does A have?
Advertisement
Answer and explanation
Correct answer: 3
A one-element subset, also called a singleton subset, contains exactly one member of the original set. For A = {p, q, r}, the singleton subsets are {p}, {q}, and {r}. Each of the three elements produces one different singleton subset, so the total number is 3. In general, an n-element set has n singleton subsets.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
A one-element subset, also called a singleton subset, contains exactly one member of the original set. For A = {p, q, r}, the singleton subsets are {p}, {q}, and {r}. Each of the three elements produces one different singleton subset, so the total number is 3. In general, an n-element set has n singleton subsets.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
Advertisement