Mathematics · 2024
JEE Main · 1 February 2024, Shift 1 · Q24
The number of elements in the set S ={(x, y, z): x, y, z ∈ Z, x+2 y+3 z=42, x, y, z ≥ 0} equals ____.
The number of elements in the set
$\displaystyle \mathrm{S}=\{(x, y, z): x, y, z \in \mathbf{Z}, x+2 y+3 z=42, x, y, z \geqslant 0\}$ equals $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
169
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.