SOLUTION: In how many ways can a committee of nine be divided into two subcommittees, one having five members and the other having four?

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Question 1111047: In how many ways can a committee of nine be divided into two subcommittees, one having five members and the other having four?
Found 2 solutions by rileyforet, ikleyn:
Answer by rileyforet(1) About Me  (Show Source):
You can put this solution on YOUR website!
6 different ways

Answer by ikleyn(53751) About Me  (Show Source):
You can put this solution on YOUR website!
.
You can select 5 persons of 9 by  C%5B9%5D%5E5 = %289%2A8%2A7%2A6%29%2F%281%2A2%2A3%2A4%29 = 126 ways.

Any other answer is INCORRECT.


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It is about COMBINATIONS.

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.