SOLUTION: A debate team of 4 is to be chosen from a class of 35. There are two twin brothers in the class. How many possible ways can the team be formed which will not include any of the tw

Algebra ->  Permutations -> SOLUTION: A debate team of 4 is to be chosen from a class of 35. There are two twin brothers in the class. How many possible ways can the team be formed which will not include any of the tw      Log On


   

Question 1174595: A debate team of 4 is to be chosen from a class of 35. There are two twin brothers in the class.
How many possible ways can the team be formed which will not include any of the twin
brothers?
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is OBVIOUS:  you form the teams from  35-2 = 33 remaining students,


and you can do it in  C%5B33%5D%5E4 = %2833%2A32%2A31%2A31%29%2F%281%2A2%2A3%2A4%29 = 42284 ways       ANSWER

Solved.

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This problem is about 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.