Binomial Theore...

Coefficient of $$x^ {15}$$ in $$(1+x+x^ {3}+x^ {4})$$^ {n} is

The coefficient of  $$x^m$$ in the expansion of  $$(1+)^{m+n}$$ is -

The 11$$^{th}$$ term from last, in expansion of (2x+$$\frac{1}{^{x2}}$$ is

The total number of irrational terms in the binomial expansion of $${ \left( { 7 }^{ 1/5 }-{ 3 }^{ 1/10 } \right)  }^{ 60 }$$  is :

the number of terms in the expansion of $${\left( {x + y - x} \right)^3}$$ is  

The number of distinct terms in the expansion of $${ \left( { x+y }^{ 2 } \right)  }^{ 13 }+{ \left( { x }^{ 2 }+y \right)  }^{ 14 }$$ is...

Find the middle terms of the equation of $$\left(x^4 - \dfrac{1}{x^3}\right)^{11}$$.

The coefficient of $$  x^{2 n+1}  $$ in the expansion of $$  E=\frac{1}{(1+x)\left(1+x^{2}\right)\left(1+x^{4}\right)\left(1+x^{8}\right) \ldots\left(1+x^{2 m}\right)}|x|<1  $$ is

The coefficient of $$  x^{5}  $$ in the expansion of $$ \left(x^{2}-x-2\right)^{5}  $$ is

Coefficient of $$  x^{5}  $$ in the expansion of $$ \left(x^{2}-x-2\right)^{5} $$ is