SOLUTION: An organization had 12 employees. There are 9 female employees and 3 male employees. How many different teams of 5 people can be chosen from these employees where there are 3 wo

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Question 1184476: An organization had 12 employees. There are 9 female employees and 3 male employees.
How many different teams of 5 people can be chosen from these employees where there are 3 women and 2 men?

Answer by ikleyn(52781) About Me  (Show Source):
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An organization had 12 employees. There are 9 female employees and 3 male employees.
How many different teams of 5 people can be chosen from these employees where there are 3 women and 2 men?
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You can choose 3 women from 9 female employees in  C%5B9%5D%5E3 = %289%2A8%2A7%29%2F%281%2A2%2A3%29 = 84 different ways.

You can choose 2 men from 3 male employees in  C%5B3%5D%5E2 = 3 different ways.


Combining these different subsets, you may have 84*3 = 252 different teams.

Solved and explained.

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This problem is on COMBINATIONS.


On Combinations,  see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - Fundamental counting principle problems
    - 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.