SOLUTION: A horse race has 12 entries. Assuming that there are no ties, what is the probability that the three horses owned by one person finish first, second, and third?

Algebra.Com
Question 1125887: A horse race has 12 entries. Assuming that there are no ties, what is the probability that the three horses owned by one person finish first, second, and third?
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
In all,  = 220 different triples can be formed from 12 horses.


Of them, only one special triple is favorable.


Answer.  The probability under the question is  .

Solved.

----------------------

It is about Combinations.

On Combinations,  see the lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - OVERVIEW of lessons on Permutations and Combinations
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.



RELATED QUESTIONS

A horse race has 12 entries and one person owns 3 of those horses. Assuming that there... (answered by robertb)
Could you please tell me what I did wrong with this problem? A horse race has 12... (answered by josmiceli)
A horse race has 11 entries and one person owns 3 of those horses. Assuming that... (answered by Boreal)
A horse race has 12 entries and one person owns 5 of those horses. Assuming that there... (answered by richwmiller)
A horse race has 11 entries and one person owns 4 of those horses. Assuming that there... (answered by Theo)
A horse race has 11 entries and one person owns 4 of those horses. Assuming that there... (answered by robertb,ikleyn)
A horse race has 10 entries and one person owns 3 of those horses assuming their are no... (answered by stanbon)
A horse race has 12 entries. Assuming there are no ties, how many different ways can... (answered by Alan3354)
A gambler places a bet on a horse race. To win, she must pick the top three finishers in... (answered by FrankM)