(New page: 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...) |
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− | There are 5 possible groupings: | + | There are 5 possible groupings: |
− | 0 0 5 - 1 | + | 0 0 5 - 1 |
− | 0 1 4 - 5 | + | 0 1 4 - 5 |
− | 0 2 3 - 10 | + | 0 2 3 - 10 |
− | 1 1 3 - 10 | + | 1 1 3 - 10 |
− | 1 2 2 - 20 | + | 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. | 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, | As a result, | ||
− | 5 orders to indicate 5 indistinguishable objects into 3 indistinguishable boxes. | + | 5 orders to indicate 5 indistinguishable objects into 3 indistinguishable boxes.--[[User:Kim297|Kim297]] 21:56, 6 October 2008 (UTC) |
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+ | |||
+ | --- | ||
+ | '''grader's comment''' : good job. I also got the same answer for the question! <Br> | ||
+ | -- by [[User:lee462|lee462]] 10:48, 5 October 2008 (UTC) |
Latest revision as of 17:30, 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)
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grader's comment : good job. I also got the same answer for the question!
-- by lee462 10:48, 5 October 2008 (UTC)