Mathematics · supplementary
Greatest binomial coefficient(s) for JEE
General term and middle term and simple applications
Formula
\[\max\{{n\choose 0},{n\choose 1},\dots,{n\choose n}\}=\begin{cases}{n\choose n/2},& n\text{ even}\\[4pt]{n\choose (n-1)/2}={n\choose (n+1)/2},& n\text{ odd}\end{cases}\]
Variables: \(n\) is a non-negative integer.
Largest coefficient, middle coefficient questions.