SOLUTION: In how many ways can two$8000 scholarships be given to two students chosen from a pool of 10 applicants?

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Question 1115272: In how many ways can two$8000 scholarships be given to two students chosen from a pool of 10 applicants?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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The order of recipients does not matter in this problem (since the amounts are identical),

so it is about combinations - not permutations.


There are  C%5B10%5D%5E2  combinations of two items (two students) among 10.


So, the answer is  C%5B10%5D%5E2 = %2810%2A9%29%2F2 = 45 ways.

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On Combinations and Permutations see the lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems on Permutations
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - Arranging elements of sets containing indistinguishable elements
    - Persons sitting around a cicular table
    - Combinatoric problems for entities other than permutations and 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.