\[1)\ C_{5}^{0} + C_{5}^{1} + C_{5}^{2} + C_{5}^{4} + C_{5}^{5} =\]
\[= 2^{5} = 32.\]
\[2)\ C_{6}^{1} + C_{6}^{2} + C_{6}^{3} + C_{6}^{4} + C_{6}^{5} =\]
\[= 2^{6} - 1 - 1 = 64 - 2 = 62.\]