1. If the product of $$n$$ positive integers is $$n^n$$, then their sum is






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  • By: anil on 05 May 2019 02.39 am
    We know that for a given product the sum of all the numbers will be the least when all the numbers are equal
    Thus, the sum of all the number in $$n^n$$ will be least when
    $$n^n$$ = $$n*n*n*...........*(n ext{times})$$
    Thus, their sum $$= n+n+........+(n times) = n^2$$
    Hence, the sum can never be less than $$n^2$$
    Hence, option D is the correct answer.
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