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There are 5 possible groupings:
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There are 5 possible groupings:  
0 0 5 - 1
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                                0 0 5 - 1
0 1 4 - 5
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                                0 1 4 - 5
0 2 3 - 10
+
                                0 2 3 - 10
1 1 3 - 10
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                                1 1 3 - 10
1 2 2 - 20
+
                                1 2 2 - 20
  
  
Line 10: Line 10:
  
 
As a result,
 
As a result,
5 orders to indicate 5 indistinguishable objects into 3 indistinguishable boxes.
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5 orders to indicate 5 indistinguishable objects into 3 indistinguishable boxes.--[[User:Kim297|Kim297]] 21:56, 6 October 2008 (UTC)
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---
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'''grader's comment''' : good job. I also got the same answer for the question! <Br>
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-- by [[User:lee462|lee462]] 10:48, 5 October 2008 (UTC)

Latest revision as of 18:30, 6 October 2008

There are 5 possible groupings:

                               0 0 5 - 1
                               0 1 4 - 5
                               0 2 3 - 10
                               1 1 3 - 10
                               1 2 2 - 20


For a total of 46 possibilities. I don't see a more general formula for this. Because [A][B][C] and [B][A][C] are same, the boxes are indistinguishable that proves.

As a result, 5 orders to indicate 5 indistinguishable objects into 3 indistinguishable boxes.--Kim297 21:56, 6 October 2008 (UTC)


--- grader's comment : good job. I also got the same answer for the question!
-- by lee462 10:48, 5 October 2008 (UTC)

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva