# 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...