SOLUTION: 100 People attended a conference. In how many ways can three graphing calculators be given to three people chosen from the 100 people?

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Question 1142619: 100 People attended a conference. In how many ways can three graphing calculators be given to three people chosen from the 100 people?
Answer by ikleyn(52908)   (Show Source): You can put this solution on YOUR website!
.

See how I edited the condition in order for the problem makes sense. 

    In how many ways can three identical / indistinguishable graphing calculators  be given to three people chosen among 100 people ?


Solution 

Since the calculators are identical / indistinguishable, the number of ways is equal to the number 

of all subsets of 3 persons chosen from 100 people.



This number is the number of combinations  of 100 items taken 3 at a time


     =  = 161700.    ANSWER

-------------------

On Combinations,  see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - Arranging elements of sets containing indistinguishable elements
    - 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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