SOLUTION: From a group of 6 women and 8 men, a committee consisting of 4 men and 3 women is to be formed. how many different committees can be formed if three men refuse to serve?

Question 1185027: From a group of 6 women and 8 men, a committee consisting of 4 men and 3 women is to be formed. how many different committees can be formed if three men refuse to serve?
Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!
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From a group of 6 women and 8 men, a committee consisting of 4 men and 3 women is to be formed.
how many different committees can be formed if three men refuse to serve?
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You can select 4 men   from a group of 8-3 = 5 men   in   = 5 different ways.

You can select 3 women from a group of 6 women in   =  = 20 different ways.


Combining these different groups of men and women, you can form the commiittee in 5*20 = 100  different ways.

Solved.

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This problem is on COMBINATIONS.
It also uses the Fundamental counting principle.

On these subjects, learn from the 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.

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