SOLUTION: A company is looking to hire 5 people for identical positions. If there are 10 men and 8 women being interviewed, in how many ways can 2 men and 3 women be chosen?

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Question 1153203: A company is looking to hire 5 people for identical positions. If there are 10 men and 8 women being interviewed, in how many ways can 2 men and 3 women be chosen?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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In  C%5B10%5D%5E2.C%5B8%5D%5E3 = %2810%2A9%29%2F%281%2A2%29.%288%2A7%2A6%29%2F%281%2A2%2A3%29 ways.


Here the symbol C%5Bn%5D%5Ek means the number of COMBINATIONS of "n" items taken "k" at a time.

Use your calculator.


This problem is about COMBINATIONS.

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.