How many solutions are there to the equation x1+x2+x3+x4 = 17 where x1, x2, x3, x4 are integers and (a) x1, x2, x3, x4 ≥ 0 (b) x1, x2, x3, x4 ≥ 1 (c) x1 ≥ 5, x2 ≥ 0, x3 ≥ -3, x4 ≥ 1

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