Let A be the set of distinct letters in the English word “sets”. What is n(P(A))?
Advertisement
Answer and explanation
Correct answer: 8
Although the word “sets” has five positions, repeated letters are counted only once in a set. Its distinct letters are {s, e, t}, so n(A) = 3. A set with n elements has 2ⁿ subsets; consequently, n(P(A)) = 2³ = 8. Hence option A is the correct answer.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
Although the word “sets” has five positions, repeated letters are counted only once in a set. Its distinct letters are {s, e, t}, so n(A) = 3. A set with n elements has 2ⁿ subsets; consequently, n(P(A)) = 2³ = 8. Hence option A is the correct answer.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
Advertisement