In the expansion of ${(1 + x)^n}$ the sum of coefficients of odd powers of $x$ is
In the expansion of ${(1 + x)^n}$ the sum of coefficients of odd powers of $x$ is
- A
${2^n} + 1$
- B
${2^n} - 1$
- C
${2^n}$
- D
${2^{n - 1}}$
Similar Questions
If $r,k,p \in W,$ then $\sum\limits_{r + k + p = 10} {{}^{30}{C_r} \cdot {}^{20}{C_k} \cdot {}^{10}{C_p}} $ is equal to -
If $r,k,p \in W,$ then $\sum\limits_{r + k + p = 10} {{}^{30}{C_r} \cdot {}^{20}{C_k} \cdot {}^{10}{C_p}} $ is equal to -
If number of terms in the expansion of ${(x - 2y + 3z)^n}$ are $45$, then $n=$
If number of terms in the expansion of ${(x - 2y + 3z)^n}$ are $45$, then $n=$
The sum of last eigth coefficients in the expansion of $(1 + x)^{15}$ is :-
The sum of last eigth coefficients in the expansion of $(1 + x)^{15}$ is :-
If $\sum_{r=1}^{10} r !\left( r ^{3}+6 r ^{2}+2 r +5\right)=\alpha(11 !),$ then the value of $\alpha$ is equal to ...... .
If $\sum_{r=1}^{10} r !\left( r ^{3}+6 r ^{2}+2 r +5\right)=\alpha(11 !),$ then the value of $\alpha$ is equal to ...... .
- [JEE MAIN 2021]
If $A$ denotes the sum of all the coefficients in the expansion of $\left(1-3 x+10 x^2\right)^n$ and $B$ denotes the sum of all the coefficients in the expansion of $\left(1+x^2\right)^n$, then :
If $A$ denotes the sum of all the coefficients in the expansion of $\left(1-3 x+10 x^2\right)^n$ and $B$ denotes the sum of all the coefficients in the expansion of $\left(1+x^2\right)^n$, then :
- [JEE MAIN 2024]