SOLUTION: From a group of 6 girls and 7 boys, how many 5-member committees consist of: members of the same gender?

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Question 1162946: From a group of 6 girls and 7 boys, how many 5-member committees consist of: members of the same gender?
Answer by ikleyn(52781) About Me  (Show Source):
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Number of the 5-boys committees is  C%5B7%5D%5E5 = %287%2A6%29%2F%281%2A2%29 = 7*3 = 21.


Number of the 5-girls committees is  C%5B6%5D%5E5 = 6.


In total,  21 + 6 = 27  five-members committees consisting of the same gender.    ANSWER

Solved.

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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.