(New page: OK, so we need to put 5 indistinguishable objects into 3 indistinguishable boxes. The easiest way to do this is to just list the different possibilities. box box box 5 0 ...) |
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The easiest way to do this is to just list the different possibilities. | The easiest way to do this is to just list the different possibilities. | ||
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5 0 0 | 5 0 0 | ||
4 1 0 | 4 1 0 | ||
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Notice that I did not label the boxes, this is because they are indistinguishable. This makes it so I do not have to list 5-0-0, 0-5-0, and 0-0-5 as separate possibilities. They are all the same. Also, options like 4-1-0 only has one possibility because the objects are also indistinguishable so it doesn't matter which object is separate from the others. | Notice that I did not label the boxes, this is because they are indistinguishable. This makes it so I do not have to list 5-0-0, 0-5-0, and 0-0-5 as separate possibilities. They are all the same. Also, options like 4-1-0 only has one possibility because the objects are also indistinguishable so it doesn't matter which object is separate from the others. | ||
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| + | Add up these possibilities and we get 5 ways. | ||
[[User:kduhon|kduhon]] 10:38 24, September 2008 (UTC) | [[User:kduhon|kduhon]] 10:38 24, September 2008 (UTC) | ||
Revision as of 04:40, 24 September 2008
OK, so we need to put 5 indistinguishable objects into 3 indistinguishable boxes.
The easiest way to do this is to just list the different possibilities.
5 0 0 4 1 0 3 2 0 3 1 1 2 2 1
Notice that I did not label the boxes, this is because they are indistinguishable. This makes it so I do not have to list 5-0-0, 0-5-0, and 0-0-5 as separate possibilities. They are all the same. Also, options like 4-1-0 only has one possibility because the objects are also indistinguishable so it doesn't matter which object is separate from the others.
Add up these possibilities and we get 5 ways.
kduhon 10:38 24, September 2008 (UTC)
