# Fun With Binomial Coefficients 2

Discrete Mathematics Level 2

The Remainder when

$${ \left( \sum _{ k=1 }^{ 5 }{ \overset { 20 }{ \underset { 2k-1 }{ C } } } \right) }^{ 6 }$$

is Divided by 11 is $$\gamma$$. Then Find

$$5\csc { \frac { \pi }{ 2\gamma } }$$.

Where $$\overset { n }{ \underset { r }{ C } }$$ represents Binomial Coefficients..

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