If A = {1, 2, 3, 4}, how many singleton subsets containing an odd number are in P(A)?
Answer and explanation
Correct answer: 2
A singleton subset contains exactly one element. The odd elements of A are 1 and 3, so the singleton subsets containing an odd number are {1} and {3}. There are exactly two such subsets. The even elements 2 and 4 produce {2} and {4}, but these do not satisfy the condition. Therefore option B is correct. In general, each qualifying element produces one distinct singleton subset.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
A singleton subset contains exactly one element. The odd elements of A are 1 and 3, so the singleton subsets containing an odd number are {1} and {3}. There are exactly two such subsets. The even elements 2 and 4 produce {2} and {4}, but these do not satisfy the condition. Therefore option B is correct. In general, each qualifying element produces one distinct singleton subset.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
