SOLUTION: You have 14 girls and 8 boys in your class. In how many ways can you create a committee of 4? And in how many ways can you create a committee of 4 if there has to be two boys an

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Question 1134765: You have 14 girls and 8 boys in your class.
In how many ways can you create a committee of 4?
And in how many ways can you create a committee of 4 if there has to be two boys and two girls?

Answer by ikleyn(52834) About Me  (Show Source):
You can put this solution on YOUR website!
.
1.  In the first case, in  C%5B14%2B8%5D%5E4 = C%5B22%5D%5E4 = %2822%2A21%2A20%2A19%29%2F%281%2A2%2A3%2A4%29 = 7315 ways.



2.  In the second case,  in  C%5B14%5D%5E2.C%5B8%5D%5E2 = %28%2814%2A13%29%2F2%29%2A%28%288%2A7%29%2F2%29 = 2548 ways.


Solved.

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On Combinations,  see the lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on 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.