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− | + | '''Pg.381 Problem #54''' | |
54) How many ways are there to distribute five indistinguishable objects into three indistinguishable boxes? | 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. | * For each way to distribute objects, list the number of objects in the boxes with the box containing the largest number of objects first. | ||
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− | + | '''BOXES 1-3''' | |
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− | * So, | + | *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 | ||
--[[User:Ehanna|Ehanna]] 12:55, 28 September 2008 (UTC) | --[[User:Ehanna|Ehanna]] 12:55, 28 September 2008 (UTC) | ||
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+ | This is the same answer i got. You answer is clear and illustrated well. I can easy read the question and see exactly what it is you are trying to answer. Nice work ; A | ||
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+ | --[[ccuriel_MA375Fall2008walther|ccuriel]] 21:08, 5 October 2008 (UTC) | ||
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+ | I believe this is the right answer Evan. Well I got the same one at least. I also like the way you wrote it out. Keep up the good work champ! | ||
+ | --[[User:Jahlborn|Jahlborn]] 21:18, 5 October 2008 (UTC) |
Latest revision as of 17:18, 5 October 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)
This is the same answer i got. You answer is clear and illustrated well. I can easy read the question and see exactly what it is you are trying to answer. Nice work ; A
--ccuriel 21:08, 5 October 2008 (UTC)
I believe this is the right answer Evan. Well I got the same one at least. I also like the way you wrote it out. Keep up the good work champ! --Jahlborn 21:18, 5 October 2008 (UTC)