7. Some of the 81920 lattice points in a 40 × 2024 lattice are coloured red. It is knownthat no four red lattice points are vertices of a rectangle with sides parallel to theaxes of the lattice. What is the maximum possible number of red points in thelattice?

Step 1: To solve for the maximum number of red points in a 40×2024 lattice such that no four red…

Answered: 7. Some of the 81920 lattice points in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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7. Some of the 81920 lattice points in a 40 × 2024 lattice are coloured red. It is known that no four red lattice points are vertices of a rectangle with sides parallel to the axes of the lattice. What is the maximum possible number of red points in the lattice?