SOLUTION: Is there exactly 16 subsets and 24 subsets? If no, why?

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Question 759137: Is there exactly 16 subsets and 24 subsets? If no, why?
Answer by reviewermath(1029) About Me  (Show Source):
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Q:
Is there exactly 16 subsets and 24 subsets? If no, why?
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A:
If a set has n elements, then the number of subsets is equal to 2%5En.
If a set has exactly 16 subsets, then 2%5En = 16 --> n = 4 (number of elements in a set). Therefore, a set can have exactly 16 subsets.
If a set has exactly 24 subsets, then 2%5En = 24 --> n = no solution in the set of non-negative integers. Therefore, a set cannot have exactly 24 subsets.