Question

The sum of all the coefficients in the binomial expansion of $(x^2+x^3{)}^{319}$ is

• A. 1
• B. $(2{)}^{318}$
• C. $(2{)}^{319}$
• D. 0

Answer 1

The correct option is C $(2{)}^{319}$

For the sum of the coefficients of the binomial theorem, we substitute $x=1$.

Hence, we get

$(x^2+x^3{)}^{319}{|}_{x=1}$

$=2^{319}$

Thus sum of the coefficients of the above binomial expansion is $2^{319}$.