Question

The mean value of numbers

${}^{50}{C}_0{,}^{50}{C}_2{,}^{50}{C}_4,..{.}^{50}{C}_{50}$ is

• A. $\frac{2^{50}}{25}$
• B. $\frac{2^{48}}{12}$
• C. $\frac{2^{49}}{25}$
• D. $Noneofthese$

Answer 1

The correct option is C $\frac{2^{49}}{25}$

$Mean=\frac{{}^{50}{C}_0{+}^{50}{C}_2{+}^{50}{C}_4+..........{+}^{50}{C}_{50}}{26}=\frac{2^{49}}{26}$

Option D

Formula:

$C_0+C_2+C_4+.......=C_1+C_3+C_5+...........=2^{n-1}$