Permutation and inequality

Algebra Level 4

Let \(a_1 , a_2 , a_3, \ldots ,a_n \) be positive real numbers. If \(b_1 , b_2 , b_3 \dots b_n\) is a permutation of \(a_1 , a_2 , a_3 \dots a_n\) then find the minimum value of the expression below:

\[\large \displaystyle \sum_{r=1}^{1234567890} \dfrac{a_r}{b_r}\]

×

Problem Loading...

Note Loading...

Set Loading...