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Is a generic solution possible to this problem
in Mathematical Logic 205 views

1 Answer

2 votes

Here we are interested in knowing number of solutions to the following integral equation problem:

$W + R + G = K$, where W, R, G represent number of white, red and green balls respectively, such that,

$0 \leq W \leq A$, $0 \leq R \leq B$, $0 \leq G \leq C$

Please refer this article (after example 3) for the general formula

I would like to know if there is any other reference for this though.

yes, generating function is one of the possible generic solution.

Similar examples are in this ref

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