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(52780)   (Show Source):
You can put this solution on YOUR website!
.

Answer. = = 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)   (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?