(New page: ---Pg.381 Problem #54--- 54) How many ways are there to distribute five indistinguishable objects into three indistinguishable boxes? * For each way to distribute objects, list the numb...) |
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BOXES 1-3 | BOXES 1-3 | ||
| − | 1st way 5, 0, 0 | + | *1st way 5, 0, 0 |
| − | 2nd way 4, 1, 0 | + | *2nd way 4, 1, 0 |
| − | 3rd way 3, 2, 0 | + | *3rd way 3, 2, 0 |
| − | 4th way 3, 1, 1 | + | *4th way 3, 1, 1 |
| − | 5th way 2, 2, 1 | + | *5th way 2, 2, 1 |
* So, there are 5 ways to distribute 5 indistinguishable objects into three indistinguishable boxes | * So, there are 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) | ||
Revision as of 08:56, 28 September 2008
---Pg.381 Problem #54---
54) How many ways are there to distribute five indistinguishable objects into three indistinguishable boxes?
- 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, there are 5 ways to distribute 5 indistinguishable objects into three indistinguishable boxes
--Ehanna 12:55, 28 September 2008 (UTC)
