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Permutations and Combinations question

2024 · 1 Feb · Shift 1 · Q52
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  5. /2024 · 1 Feb · Shift 1 · Q52

Permutations and Combinations question

2024 · 1 Feb · Shift 1 · Q52

JEE MainMathematicsPermutations and CombinationsNumerical+4 / −1
The number of elements in the set S={(x,y,z):x,y,z∈Z,x+2y+3z=42,x,y,z⩾0}\mathrm{S}=\{(x, y, z): x, y, z \in \mathbf{Z}, x+2 y+3 z=42, x, y, z \geqslant 0\}S={(x,y,z):x,y,z∈Z,x+2y+3z=42,x,y,z⩾0} equals ‾\underline{\hspace{2cm}}​.
Numerical answer
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