Find the position of the order of the horse race:
Total number of horse = 11
The position of order are first , second and third = 3
[tex]^{11}C_{^{}3}[/tex][tex]\begin{gathered} ^{11}C_{^{}3}=\frac{11!}{(11-3)!3!} \\ ^{11}C_{^{}3}=\frac{11!}{8!3!}=\frac{11\text{ x 10 x 9 x 8!}}{8!\text{ 3 x 2 x }1} \\ \text{ }^{11}C_{^{}3}=\text{ 165} \end{gathered}[/tex]
Therefore the number of ways first three poisition will occur = 165
Hence the correct answer is Option C
