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Permutations And Combinations

JEE Main 2024 (Online) 1st February Morning Shift

INTEGER+4 / -12024
The number of elements in the set $\mathrm{S}=\{(x, y, z): x, y, z \in \mathbf{Z}, x+2 y+3 z=42, x, y, z \geqslant 0\}$ equals __________.

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