Posted by **Anonymous** on Sunday, May 26, 2013 at 5:15pm.

a horse race has 10 entries and one person owns 5 of those horses. assuming that there are no ties, what is the probability that those 5 horses finish 1,2,3, 4th and 5th regardless of the order?

- statistics -
**MathMate**, Sunday, May 26, 2013 at 5:25pm
Assume

There are

N=10C5 ways of randomly choosing 5 horses out of 10.

where

N=10!/(5!5!)=25

We assume that

1. order does not count,

2. winning probabilities are equal among horses,

3. results are completely random.

Then the owner has one chance in 252 that his 5 horses are placed 1st to 5th.

- statistics- correction -
**MathMate**, Sunday, May 26, 2013 at 5:26pm
N=10C5=10!/(5!5!)=252

- statistics -
**adriana**, Thursday, May 21, 2015 at 7:25pm
A horse race has 14 entries and one person owns 5 of those horses...

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