Question

Numerically greatest term in the expansion of $(3x-4y)^{23}$ when $x=\frac{1}{6}$ and $y=\frac{1}{8}$ is

• A. $\frac{^{23}C_{11}}{6^{23}}$
• B. $^{23}C_{11} (\frac{8}{6})^{23}$
• C. $^{23}C_{11} (\frac{6}{8})^{23}$
• D. $^{23}C_{11}$

Hint:

For $(a+b)^n$, the numerically greatest term occurs where $|\frac{T_{r+1}}{T_r}| \le 1$. If n is odd, the two middle terms have equal maximum magnitude.

Answer 1

The Correct Option is D