What is the formula to solve these kind of problems.
Q. what are different ways of picking four balls from a sack containing 3red balls, 3white balls, 3blue balls. All the four balls are picked at once
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There are many ways to go through this question - have you tried anything? Else I may close this. – Parcly Taxel Sep 27 '16 at 01:05
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Surely you can do this example by hand. All you want are triples of non-negative integers ${r,w,b}$ which are each $≤3$ and which sum to $4$. Without the max constraint ($3$ here) this can be done in general with Stars and Bars. With the max constraint, I think it's best to use generating functions, as here – lulu Sep 27 '16 at 01:05
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Actually I want a generalization for this problem as I will be using that to write a computer program – Mohit Sep 27 '16 at 03:34