Binomial Theore...

The sum of coefficients of the two middle terms in the expansion of $$( 1 + x ) ^ { 2 n - 1 }$$ is equal to

 If the coefficients of $$x^{-7}$$ and $$x^{-8}$$ to the expansion of $$\left(2+\dfrac {1}{3x}\right)^{n}$$ are equal then $$n=$$

The coefficient of $$x^{4}$$ in the expansion of $$\left(\dfrac{x}{2}-\dfrac{3}{x^{2}}\right)^{10}$$, is

The coefficient of $$x^{5}$$ in the expansion of $$(1+x)^{21}+(1+x)^{22}+....+(1+x)^{30}$$ is

Find the middle term in the expansion of $${ \left( \dfrac { { 2x }^{ 2 } }{ 3 } +\dfrac { 3 }{ { 2x }^{ 2 } }  \right)  }^{ 10 }$$ 

The coefficient of $${x}^{3}$$ in the expression of $${(1+{x}^{2}+{x}^{3})}^{10}$$ is 

If $$(1+ax)^n=1+8x+24x^2+.....$$ then 

The coefficient of $$x^4$$ in the expansion of $$(1-2x+3x^2+4x^3)(1-x)^{-8}$$ is:

The coefficient of $$x^6 y^5 z^3$$ in the expansion of $$(3xy - 2xz + zy)^7$$ is

The coefficient of $$x^{4}$$ in the expansion $$\left(1+5x+9x^{2}+.+\left(4k+1\right)x^{k}+..\right)\left(1+x^{2}\right)^{11}$$ is