Evaluate \(^{n^2+1}C_{n+5}\) if n = 3

32+1 ${}^{{\mathrm{<br>}}^{}}$C3+5 ${}_{\mathrm{<br>}}$

9+1 ${}^{\mathrm{<br>}}$C3+5 ${}_{\mathrm{<br>}}$

10 ${}^{}$C
${}_8$ = 10!8!2! $\frac{\mathrm{<br>}}{}$

10∗9∗8!8!2! $\frac{\mathrm{<br>}}{}$ = 10∗92 $\frac{\mathrm{<br>}}{}$

= 45