Q. The largest coefficient in the expansion of ${(1 + x)}^{24}$ is
A) $\ ^{24}C_{24}$
B) $\ ^{24}C_{13}$
C) $\ ^{24}C_{12}$
D) $\ ^{24}C_{11}$
Explanation
(c)
Since, number of terms in the expansion of $(1 + x)^{24}\ is\ 25.$
Therefore, the middle term is 13th term.
$\therefore$ Required greatest coefficient $= \ ^{24}C_{12}.$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.