SOLUTION: An investigation committee with eight members is to be formed from a group of seven teachers and nine student leaders. In how many ways is this possible if the committee must have

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Question 1190637: An investigation committee with eight members is to be formed from a group of seven teachers and nine student leaders. In how many ways is this possible if the committee must have five teachers and three student leaders?
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.

    In  C%5B7%5D%5E5%2AC%5B9%5D%5E%288-5%29 = C%5B7%5D%5E5%2AC%5B9%5D%5E3 = 21*84 = 1764 different ways.    ANSWER

Solved.

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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
    - 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.