SOLUTION: There are two red, three black, and five white balls. If any two balls of the same color are indistinguishable, how many distinct patterns can be made by lining them up from left t

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Question 1193828: There are two red, three black, and five white balls. If any two balls of the same color are indistinguishable, how many distinct patterns can be made by lining them up from left to right?
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!

If all 10 balls were distinguishable, the answer would be 10!.
But since they're not we must divide that by all the factorials
of the numbers of indistinguishable balls of each color.

Answer 

Edwin
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

To see many other similar  (and different)  solved problems,  look into the lesson
    - Arranging elements of sets containing indistinguishable elements
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 lesson is 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.



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