Question

a horse race has 14 entries and one person owns 5 of the 14 horses. assuming there are no ties, what is the probability that those five horses finish first, second, third, fourth and fifth regardless of order

Answer 1

The probability that one of the five finishes first is 5/14 and the probability that one of the remaining four finishes second is 4/13. Continuing this reasoning we get the required probability as follows:
\[P=\frac{5\times4\times3\times2\times1}{14\times13\times12\times11\times10}=you\ can\ calculate\]