SOLUTION: A 3 person jury must be selected at random (without replacement) from a pool of 12 people that has 7 men and 5 women. How many ways can a jury of 2 men and 1 woman be selected?

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Question 1152940: A 3 person jury must be selected at random (without replacement) from a pool of 12 people that has 7 men and 5 women. How many ways can a jury of 2 men and 1 woman be selected?
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

Actually, you select 2 men from 7 men and 1 woman from 5 women.


These selections are INDEPENDENT;  therefore, the answer to the problem's question is


    C%5B7%5D%5E2.C%5B5%5D%5E1 = %287%2A6%29%2F2.5 = 7*3*5 = 105 different ways.

Solved.

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To solve such problems with confidence,  you need to know 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.