SOLUTION: I have a statistics question. Please help. Thanks. There is a group of five people from which a committee will be made. How many ways can we pick a three-person committee?

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Question 1139405: I have a statistics question. Please help. Thanks.
There is a group of five people from which a committee will be made.
How many ways can we pick a three-person committee?
Found 2 solutions by algebrahouse.com, ikleyn:
Answer by algebrahouse.com(1659)   (Show Source): You can put this solution on YOUR website!
This is a combinations problem, where you are choosing 5....3 at a time.

Grab a scientific calculator and locate the permutations and combinations button.
It might be labeled nPr and nCr.
You want to use nCr for combinations.

You are choosing 5....3 at a time.
So, type in 5C3

You should get 10.

For more help like this, visit: www.algebrahouse.com
Answer by ikleyn(52805)   (Show Source): You can put this solution on YOUR website!
.

The number of ways is the number of combinations of 5 items taken 3 at a time


     =  =  = 10.


ANSWER.  There are 10 ways to form a committee of free from the group of 5 people.

Solved.

This question is not from Statistics.

It is from Combinatorics.

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

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.


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