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How many non-negative integral solutions are there in the equation x + y + z + w = 29 given x > 0, y > 1, z > 2 and w ≥ 0 ?

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How many non-negative integral solutions are there in the equation x + y + z + w = 29 given x > 0, y > 1, z > 2 and w ≥ 0 ? 

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The number of solutions is the coefficient of x29 in

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