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How many solutions are there to equation x1 + x2 + x3 + x4 = 15...

How many solutions are there to equation x1 + x2 + x3 + x4 = 15 where xi , for i = 1, 2, 3, 4, is a nonnegative integer and

(a) x1 > 1?

(b) xi ≥ i, for i = 1, 2, 3, 4?

(c) x1 ≤ 13?

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