SOLUTION: An Experiment involves 32 participants. From these, a group of 5 participants is to be tested under a special condition. How many groups of 5 participants are possible?

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Question 1119551: An Experiment involves 32 participants. From these, a group of 5 participants is to be tested under a special condition. How many groups of 5 participants are possible?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer.  C%5B32%5D%5E5 = %2832%2A31%2A30%2A29%2A28%29%2F%281%2A2%2A3%2A4%2A5%29 = 201376,

         the number of combinations of 32 items taken 5 at a time.

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On Combinations,  see the 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.

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Thanks to the tutor @MathTherapy for noticing my typo in the previous version,

which I just corrected.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

An Experiment involves 32 participants. From these, a group of 5 participants is to be tested under a special condition. How many groups of 5 participants are possible?
highlight_green%28matrix%281%2C4%2C+%22201%2C376%22%2C+groups%2C+of%2C+5%29%29