If set A has 5 elements, how many singleton subsets are there in P(A)?
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Answer and explanation
Correct answer: 5
A singleton subset contains exactly one element. For every one of the 5 elements of A, we can form one singleton subset, such as {a}, where a belongs to A. Therefore, the number of singleton subsets is equal to n(A), which is 5. Although P(A) has 2^5 = 32 subsets in total, only 5 of them contain exactly one element.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
A singleton subset contains exactly one element. For every one of the 5 elements of A, we can form one singleton subset, such as {a}, where a belongs to A. Therefore, the number of singleton subsets is equal to n(A), which is 5. Although P(A) has 2^5 = 32 subsets in total, only 5 of them contain exactly one element.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
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