Find the number of integer solutions of the following equation, given the conditions on the variables. (a) x1 + x2 + x3 = 10, x1 ≥ 0, x2 ≥ 0, x3 ≥ 0. (b) x1 + x2 + x3 = 10, x1 ≥ 1, x2 ≥ 2, x3

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