SOLUTION: You volunteer to help drive children at a charity event to the​ zoo, but you can fit only 6 of the 14 children present in your van. How many different groups of 6 children can yo

Algebra ->  Permutations -> SOLUTION: You volunteer to help drive children at a charity event to the​ zoo, but you can fit only 6 of the 14 children present in your van. How many different groups of 6 children can yo      Log On


   



Question 1159619: You volunteer to help drive children at a charity event to the​ zoo, but you can fit only 6 of the 14 children present in your van. How many different groups of 6 children can you​ drive?
How many different groups of 6 children can you​ drive?

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

The number of different 6-children  groups of 14 children is  C%5B14%5D%5E6 = %2814%2A13%2A12%2A11%2A10%2A9%29%2F%281%2A2%2A3%2A4%2A5%2A6%29 = 3003.    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
    - 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.