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Stars and Bars with Restriction

I just encountered the stars and bars technique page on Brilliant. https://brilliant.org/assessment/techniques-trainer/stars-and-bars/

The example problem asks How many ordered sets of non-negative integers are there such that $$a + b + c + d = 10$$

I was wondering, If an upper limit is placed on one or two of the variables, for example if $$a<5$$ and $$b<4$$, then how will the solution change?

Note by Sameer Jain
3 years, 9 months ago

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