# When inequality turns to equality

Geometry Level 3

Find the number of ordered 5-tuple $$(u,v,l,m,n)$$ where $$u,v,l,m,n \in\left[1,11\right]$$ which satisfy the following inequation. $\LARGE\left({2}^{\sin ^{ 2 }{ u }+3\cos^{2}{v}}\right)\left({3}^{\sin ^{ 2 }{ l }+\cos^{2}{m}}\right)\left({5}^{\cos^{2}{n}}\right)\ge720$

Problem is not original.

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