Question

In the expansion of $(1+x{)}^{50}$ the sum of the coefficients of odd powers of x is

• A. 0
• B. $2^{49}$
• C. $2^{50}$
• D. $2^{51}$

Answer 1

The correct option is B $2^{49}$

Sum of coefficients of odd power is $2^{n-1}$

$\Rightarrow {}^{50}{C}_1+{}^{50}{C}_3+...{.}^{50}{C}_{49}=2^{49}$

Option $B$ is correct.