| Line 16: | Line 16: | ||
*5th way ----------> {2,2,1} | *5th way ----------> {2,2,1} | ||
| − | + | So, 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 09:14, 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, 5 ways to distribute 5 indistinguishable objects into three indistinguishable boxes
--Ehanna 12:55, 28 September 2008 (UTC)
