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(8) Count the number of positive integer solutions to the inequality $$ x_{1}+x_{2}+x_{3}+x_{4}+x_{5}+x_{6} leq 37 $$ with $x_{1}, x_{2}, x_{3} geq 0$ and $x_{4}, x_{5},

(8) Count the number of positive integer solutions to the inequality $$ x_{1}+x_{2}+x_{3}+x_{4}+x_{5}+x_{6} \leq 37 $$ with $x_{1}, x_{2}, x_{3} \geq 0$ and $x_{4}, x_{5}, x_{6} \geq 4$. }{$ {5645 SP.SD.476

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