How many nonnegative integer solutions are there to the pair of equations

x_{1} + x_{2} + x_{3} + … + x_{7} = 37, x_{1} + x_{2} + x_{3} = 6? How many of these solutions

have x_{1}, x_{2}, x_{3} positive?

(Discrete Math)

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# How many nonnegative integer solutions are there to the pair of equations

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How many nonnegative integer solutions are there to the pair of equations

x_{1} + x_{2} + x_{3} + … + x_{7} = 37, x_{1} + x_{2} + x_{3} = 6? How many of these solutions

have x_{1}, x_{2}, x_{3} positive?

(Discrete Math)