Determine the number of integer solutions for x1+x2+x3+x4+x5 < 40

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Determine the number of integer solutions for

x1+x2+x3+x4+x5 < 40

where

xi >= 0, i =[1,5]

for a, the answer is C(44 39) and says it is the same solution for x1+x2+x3+x4+x5+x6 = 39

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