452 views
0 votes
0 votes
Is a generic solution possible to this problem

1 Answer

2 votes
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.

Related questions

0 votes
0 votes
0 answers
1
1 votes
1 votes
1 answer
2
sampad asked Mar 21, 2016
2,934 views
The number of ways in which $2n$ white and $2n$ black balls can be arranged such that no consecutive $n$ white balls are together, is${}^{2n+1}C_2 + {}^{4n}C_{2n}$${}^{2n...
0 votes
0 votes
0 answers
3
mehul vaidya asked Jan 29, 2019
629 views
The number of ways in which we can place 3 white pawns and 3 black pawns on a 3 . 3 Chessboard is equal to