SOLUTION: From a group of 5 swimmers and 8 runners, an athletic contingent of 7 is to be formed. How many teams are possible if there are to be at least 3 swimmers?

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Question 1175113: From a group of 5 swimmers and 8 runners, an athletic contingent of 7 is to be formed. How many teams are possible if there are to be at least 3 swimmers?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

    C%5B5%5D%5E3%2AC%5B8%5D%5E4 + C%5B5%5D%5E4%2AC%5B8%5D%5E3 + C%5B5%5D%5E5%2AC%5B8%5D%5E2.


Here  C%5Bn%5D%5Em  are symbols of combinations of n items taken m at a time.

Solved.

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On Combinations,  see introductory 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.