If the product of n positive integers is n^n, then what
is the minimum value of their average for n = 6?
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Given : product of n positive integers is nⁿ
To Find : minimum value of their average for n = 6
Solution:
for positive integers
AM ≥ GM
nⁿ = 6⁶ for n = 6
Geometric mean = 6
Hence minimum value of their average for n = 6 is 6
when all 6 are 6
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