SOLUTION: there are 3 identical blue marbles and four identical yellow marbles arranged in a row. How many different arrangements of just five of these marbles are possible?

Question 1149899: there are 3 identical blue marbles and four identical yellow marbles arranged in a row. How many different arrangements of just five of these marbles are possible?
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
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The answer is   =  = 35.


The factors 3! and 4! in the denominators serve to account for multiplicity of indistinguishable marbles.

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See 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 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.

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