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)
