11. Binomial Theorem & Mathematical Induction question bank (Maths)

\[
\begin{aligned}
&\text{If the coefficients of } x^7 \text{ and } x^8 \text{ in the expansion of } \left( 2 + \frac{x}{3} \right)^n \text{ are equal, then the value of } n \text{ is:}\\
&

\[
\begin{aligned}
&\text{Set of value of } r \text{ for which } ~^{18}C_{r-2} + 2 \cdot {^{18}C_{r-1}} + {^{18}C_{r}} \geq {^{20}C_{13}} \text{ contains:}\\
&