Question: (a) How many nonnegative integer solutions are there to the pair of equations x1 + x2 + x3 + . . . + x7 =

(a) How many nonnegative integer solutions are there to the pair of equations x1 + x2 + x3 + . . . + x7 = 37, x1 + x2 + x3 = 6?
(b) How many solutions in part (a) have x1, x2, x3 > 0?

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