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Omni-MATH / Determine the number of unordered triples of distinct points in the 4×4×4 lattice grid {0,1,2,3}³ that are collinear in R³ (i.e. there exists a line passing through the three point…

Problem

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problem

Determine the number of unordered triples of distinct points in the 4×4×44 \times 4 \times 4 lattice grid {0,1,2,3}3\{0,1,2,3\}^{3} that are collinear in R3\mathbb{R}^{3} (i.e. there exists a line passing through the three points).
Plain-text mathematical notation (without MathML)
Determine the number of unordered triples of distinct points in the 4×4×4 lattice grid {0,1,2,3}³ that are collinear in R³ (i.e. there exists a line passing through the three points).
Original LaTeX notation
Determine the number of unordered triples of distinct points in the $4 \times 4 \times 4$ lattice grid $\{0,1,2,3\}^{3}$ that are collinear in $\mathbb{R}^{3}$ (i.e. there exists a line passing through the three points).

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Source and history

task_id
cdb12b8c-5f07-50a5-8438-3546b0a910d9
task_key
test--cdb12b8c-5f07-50a5-8438-3546b0a910d9
task_revision_id
1
config / split
/ test

Official source

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