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?

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(52818) (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


    . = . = 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.

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