SOLUTION: In how many ways could a club of 28 appoint a committee of four people

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Question 1154170: In how many ways could a club of 28 appoint a committee of four people
Answer by ikleyn(52779) About Me  (Show Source):
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The number of ways to choose 4 items from 28 items is equal to  


    C%5B28%5D%5E4 = 28%21%2F%284%21%2A%2828-4%29%21%29 = 28%21%2F%284%21%2A24%21%29 = %2828%2A27%2A26%2A25%29%2F%281%2A2%2A3%2A4%29 = 20475.    ANSWER


It is the number of combinations of 28 items taken 4 at a time.



    Usually,  for a student who only start studying this subject,  it is difficult to understand the meaning of these words.


    In simple terms,   C%5B28%5D%5E4   is the number of all different  4-element subsets of the given set of  28  elements.


    Notice that the order of 4 people in the committee IS NOT IMPORTANT (does not matter) in this problem. 

Solved.

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This problem is on  COMBINATIONS,
and it is a typical and basic problem on combinations.

Usually,  such problems are very first to get familiar with the subject.

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.