SOLUTION: Find the number of distinguishable permutations of: 2 Cs, 4 Js, and 3 Os

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Question 1134816: Find the number of distinguishable permutations of:
2 Cs, 4 Js, and 3 Os
Answer by ikleyn(52943) About Me  (Show Source):
You can put this solution on YOUR website!
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It is    %282%2B4%2B3%29%21%2F%282%21%2A4%21%2A3%21%29 = 9%21%2F%282%2A24%2A6%29 = %281%2A2%2A3%2A4%2A5%2A6%2A7%2A8%2A9%29%2F%282%2A24%2A6%29 =  1260.



You need to take the sum  2 + 4 + 3 = 9;  calculate 9!  and then divide it  by 2!*4!*3! to calculate the DISTINGUISHABLE classes of items.

Completed.

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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 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.