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Discrete Mathematics Level 2

Which of the following is not always an integer? (Take \(n\) to be positive integer)

\[\frac{n^2!}{(n!)^{n+2}}\] \[\frac{n^2!}{(n!)^{n}}\] \[\frac{n^2!}{(n!)^{n+1}}\] \[\frac{n^2!}{(n!)^{n-1}}\]

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by Atul Shivam

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