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?

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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(52785) About Me  (Show Source):
You can put this solution on YOUR website!
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In all, C%5B12%5D%5E3%7D%7D+=+%7B%7B%7B%2812%2A11%2A10%29%2F%281%2A2%2A3%29 = 220 different triples can be formed from 12 horses.


Of them, only one special triple is favorable.


Answer.  The probability under the question is  1%2F220.

Solved.

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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.