Browse Questions

# $^nC_0$ - $\large\frac{^nC_1}{2}$ + $\frac{^nC_2}{3}$ - ...... = ?

$\begin{array}{1 1} 0 \\ 2^{n-1} \\ \frac{1}{n+1}\\ 2^{n+1} \end{array}$

Can you answer this question?

$(1-x)^n=^nC_0-^nC_1x+^nC_2x^2-..............$
Integrate both the sides w.r.t. $x$.