SOLUTION: A city council consists of seven Democrats and seven Republicans. If a committee of six people is selected, find the probability of selecting four Democrats and two Republicans.

Question 1134901: A city council consists of seven Democrats and seven Republicans. If a committee of six people is selected, find the probability of selecting four Democrats and two Republicans. Answer must be a fraction.
Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
.

1.  You can select 4 Dems from 7 Dems  by   =  = 35 ways.


2.  You can select 2 Resp from 7 Resp by   =  = 21 ways.


3.  You can combine the choices from  n.1  and  from  n.2 INDEPENDENTLY.

    Therefore, based on Fundamental Counting Principle, the total number of choices is the product  35*21 = 735.     ANSWER

Solved.

---------------------------

On Combinations, see the 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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SOLUTION: A city council consists of seven Democrats and seven Republicans. If a committee of six people is​ selected, find the probability of selecting four Democrats and two Republicans.

SOLUTION: A city council consists of seven Democrats and seven Republicans. If a committee of six people is selected, find the probability of selecting four Democrats and two Republicans.