SOLUTION: There are 5 students in the math club, and 3 students will be selected to compete in the math contest. How many different combinations of students are possible?

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Question 1156908: There are 5 students in the math club, and 3 students will be selected to compete in the math contest. How many different combinations of students are possible?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The number of all possible combinations of 5 items taken 3 at a time is


    C%5B5%5D%5E3 = 5%21%2F%283%21%2A2%21%29 = %285%2A4%29%2F%281%2A2%29 = 10.

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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.