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?

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(52780) (Show Source): You can put this solution on YOUR website!
.


2 girls of 10 girls can be selected by   =  = 5*9 = 45 ways.



3  boys of 6 boys can be selected by   =  = 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.

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