SOLUTION: In how many ways can you place 4 red balls,3 yellow balls,6 black balls,2 blue balls,and 1 orange ball in a row?

Question 1177886: In how many ways can you place 4 red balls,3 yellow balls,6 black balls,2 blue balls,and 1 orange ball in a row?
Found 2 solutions by ikleyn, math_helper:
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

In = different ways. Complete calculations on your own.

Solved, instructed.

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To see other similar 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.

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

This is analogous to the number of distinguishable arrangements of the 16 letters {A,A,A,A,B,B,B,C,C,C,C,C,C,D,D,E}
16!/(4!*3!*6!*2!*1!) = 100900800 ways.

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