SOLUTION: A swim team must be chosen from 10 candidates. What is the greatest number of different 4-person teams that can be chosen?

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Question 1119788: A swim team must be chosen from 10 candidates. What is the greatest number of different 4-person teams that can be chosen?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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The number under the question is C%5B10%5D%5E4 = %2810%2A9%2A8%2A7%29%2F%281%2A2%2A3%2A4%29 = 210 ways.


It is the number of combinations of 10 item taken 4 at a time.

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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.