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CAN SOME BODY PLEASE FIND OUY AN EFFICIENT WAY TO CALCULATE THIS SOMETHING WITH COMBINATIONS AND PERMUTATIONS .

Four boxes with ball capacity of 3 , 5 , 7 and 8 are given . In how many ways can 19 same balls be put together in these boxes .

PLEASE GIVE A DETAILED SOLUTION .

Darkside  Sep 14, 2018
 #1
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If I remember right this question has already been answered. There are no super simple methods.

Anyway you have not said if the boxes are identical or different

 OR if the balls are identical or different.

It makes a BIG difference to the answer.

 

Four boxes with ball capacity of 3 , 5 , 7 and 8 are given . In how many ways can 19 same balls be put together in these boxes .

Ill assume that the ball are identical and the boxes are identical then you only need to worry about how many balls are in each box. This is not a combination or permutation question it is just a straight counting question.

I'd do it systematically if I were you.

I am almost sure that Heureka has done it in full before.

 

8 7 1 3

8 7 2 2 

8 6 1 4

8 6 2 3

etc

Melody  Sep 15, 2018
 #2
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See heureka's answer #4 here:

https://web2.0calc.com/questions/help-fast-urgent-tommorow-test

Guest Sep 15, 2018
 #3
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Darkside, It would be nice if you THANKED Heureka for all the work he has put into answering this question.

Melody  Sep 15, 2018

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