The product of \( n \) positive numbers is \( n^{n} \), then their sum is (A) a positive integer...

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The product of \( n \) positive numbers is \( n^{n} \), then their sum is
(A) a positive integer
(B) divisible by \( n \)
(C) equal to \( n+\frac{1}{n} \)
(D) never less than \( n^{2} \)
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