How do you find the number of solutions for the summation of N variables called Xi, which must be POSITIVE INTEGERS, that are equal or less than some constant number say C.(adsbygoogle = window.adsbygoogle || []).push({});

ΣXi <= C

i = 1,2....N

Xi = 0,1,2,....

I need the number of solutions for this equation

note that "i" is the dummy variable and the subscript for the variable X

do you have to use combinatorics or can you approximate with integrals?

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# Number of solutions

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