# 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..