Sum of the last 30 coefficients in the expansion of ${(1 + \mathrm{x})}^{59}$, when expanded in ascending powers of x is

$\begin{array}{rcl}\left({}^{59}{\mathrm{c}}_0+{}^{59}{\mathrm{c}}_1+........{}^{59}{\mathrm{c}}_{29}\right)+\left({}^{59}{\mathrm{c}}_{30}+{}^{59}{\mathrm{c}}_{31}+.......{}^{59}{\mathrm{c}}_{59}\right)& =& 2^{59}\\ 2\left({}^{59}{\mathrm{c}}_{30}+{}^{59}{\mathrm{c}}_{31}+{}^{59}{\mathrm{c}}_{32}+.......{}^{59}{\mathrm{c}}_{59}\right)& =& 2^{59}\\ \mathrm{Required}& =& 2^{58}\end{array}$