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Mathematics > Algebra > Permutations And Combinations

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The number of elements in the set S={(x,y,z):x,y,z∈Z,  x+2y+3z=42,  x,y,z≥0}S = \{(x, y, z) : x, y, z \in \mathbb{Z},\; x+2y+3z=42,\; x, y, z \ge 0\} equals ____.

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