SOLUTION: In how many ways can a committee of three men and four women be formed from a group of 10 men and 10 women?

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Question 1194204: In how many ways can a committee of three men and four women be formed from a group of 10 men and 10 women?
Answer by ikleyn(52778) About Me  (Show Source):
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In  C%5B10%5D%5E3%2AC%5B10%5D%5E4 = %28%2810%2A9%2A8%29%2F%281%2A2%2A3%29%29%2A%28%2810%2A9%2A8%2A7%29%2F%281%2A2%2A3%2A4%29%29 = 120*210 = 25200 different ways.    ANSWER

Solved.

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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
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.