SOLUTION: In a group of 16 students there are 10 girls and 6 boys. determine the number of ways that a committee of 5 students which has exactly 2 girls can be chosen from the group?

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Question 1159773: In a group of 16 students there are 10 girls and 6 boys. determine the number of ways that a committee of 5 students which has exactly 2 girls can be chosen from the group?
Answer by ikleyn(52777) About Me  (Show Source):
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2 girls of 10 girls can be selected by  C%5B10%5D%5E2 = %2810%2A9%29%2F2 = 5*9 = 45 ways.



3  boys of 6 boys can be selected by  C%5B6%5D%5E3 = %286%2A5%2A4%29%2F%281%2A2%2A3%29 = 5*4 = 20 ways.



The answer to the problem's question is the product  45*20 = 900.

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This problem is on 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.