Question 1131047: In a race with 10 horses, the first, second, and third place finishers are noted. How many
outcomes are there?
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
The condition is formulated in a very dark way.
I interpret it in this way.
Of 10 horses, A, B, C, D, E, F, G, H, I, J how many permutations do exist such that A, B and C are in their 1-st, 2-nd and 3-rd places ?
Solution
7! = 7*6*5*4*3*2*1.
It is the number of permutations of 7 objects.
3 objects of the given 10 objects are fixed on their 1-st, 2-nd and 3-rd winning places.
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On Permutations, see introductory lessons
- Introduction to Permutations
- PROOF of the formula on the number of Permutations
- Problems on Permutations
- 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.
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