Question

Maximum value of ${}^{15}{C}_r$ is

Answer 1

Maximum value of ${}^{15}{C}_r:$
Here, $15$ is odd ${}^{15}{C}_r$ will be maximum when $r=\frac{n-1}{2}=\frac{14}{2}=7$ or
$r=\frac{n+1}{2}=\frac{16}{2}=8$
$\Rightarrow {}^{15}{C}_7={}^{15}{C}_8=6435$