SOLUTION: The student council of X university has 20 members. How many different student clubs of 3 members each can be formed from the council?

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Question 1192044: The student council of X university has 20 members. How many different student clubs of 3 members each can be formed from the council?
Answer by ikleyn(52756) About Me  (Show Source):
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The student council of X university has 20 members.
How many different student clubs of 3 members each can be formed from the council?
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The number of different student clubs of 3 members each is the number of combinations

of 20 members taken 3 at a time, which is  the number of combinations


    C%5B20%5D%5E3 = %2820%2A19%2A18%29%2F%281%2A2%2A3%29 = 1140.

Solved.

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This problem is on COMBINATIONS.

On  Combinations,  see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on 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.