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* This problem is very similar to Example 11 on pg 379, so i solved #54 in the same manner.
 
* For each way to distribute objects, list the number of objects in the boxes with the box containing the largest number of objects first.
 
* For each way to distribute objects, list the number of objects in the boxes with the box containing the largest number of objects first.
  
BOXES 1-3
 
  
*1st way 5, 0, 0
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            '''BOXES 1-3'''
*2nd way 4, 1, 0
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*3rd way 3, 2, 0
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*4th way 3, 1, 1
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*5th way 2, 2, 1
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* So, there are 5 ways to distribute 5 indistinguishable objects into three indistinguishable boxes
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*1st way ----------> {5,0,0}
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*2nd way ----------> {4,1,0}
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*3rd way ----------> {3,2,0}
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*4th way ----------> {3,1,1}
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*5th way ----------> {2,2,1}
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So, 5 ways to distribute 5 indistinguishable objects into three indistinguishable boxes
  
 
--[[User:Ehanna|Ehanna]] 12:55, 28 September 2008 (UTC)
 
--[[User:Ehanna|Ehanna]] 12:55, 28 September 2008 (UTC)
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This is the same answer i got.  You answer is clear and illustrated well.  I can easy read the question and see exactly what it is you are trying to answer.  Nice work ; A
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--[[ccuriel_MA375Fall2008walther|ccuriel]]  21:08, 5 October 2008 (UTC)
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I believe this is the right answer Evan. Well I got the same one at least. I also like the way you wrote it out. Keep up the good work champ!
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--[[User:Jahlborn|Jahlborn]] 21:18, 5 October 2008 (UTC)

Latest revision as of 17:18, 5 October 2008

Pg.381 Problem #54

54) How many ways are there to distribute five indistinguishable objects into three indistinguishable boxes?


  • This problem is very similar to Example 11 on pg 379, so i solved #54 in the same manner.
  • For each way to distribute objects, list the number of objects in the boxes with the box containing the largest number of objects first.


            BOXES 1-3
  • 1st way ----------> {5,0,0}
  • 2nd way ----------> {4,1,0}
  • 3rd way ----------> {3,2,0}
  • 4th way ----------> {3,1,1}
  • 5th way ----------> {2,2,1}
So, 5 ways to distribute 5 indistinguishable objects into three indistinguishable boxes

--Ehanna 12:55, 28 September 2008 (UTC)


This is the same answer i got. You answer is clear and illustrated well. I can easy read the question and see exactly what it is you are trying to answer. Nice work ; A

--ccuriel 21:08, 5 October 2008 (UTC)

I believe this is the right answer Evan. Well I got the same one at least. I also like the way you wrote it out. Keep up the good work champ! --Jahlborn 21:18, 5 October 2008 (UTC)

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