SOLUTION: an artist has created 20 orginal paintings and she will exbit some of them in three galleris. four paintings will be sent to gallery a four to gallery b and three to gallery c in

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Question 1176399: an artist has created 20 orginal paintings and she will exbit some of them in three galleris. four paintings will be sent to gallery a four to gallery b and three to gallery c in how many ways can this be done
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

    In  C%5B20%5D%5E4.C%5B16%5D%5E4.C%5B12%5D%5E3  different ways.


The order of paintings in each parcel does not matter, 


so this problem is about COMBINATIONS.

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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.