| Line 4: | Line 4: | ||
| + | * 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. | ||
| Line 9: | Line 10: | ||
*'''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 09:06, 28 September 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, there are 5 ways to distribute 5 indistinguishable objects into three indistinguishable boxes
--Ehanna 12:55, 28 September 2008 (UTC)
