Math Problem Statement

  1. Ana plays with 𝑛 × 𝑛 boards by placing a token in each of the cells with no common points with other cells containing tokens. In the picture beside we see how to place as many chips as possible on 5 × 5 and 6 × 6 boards. In this way, how many chips can Ana possibly put on a 2020 × 2020 board? (A) 2020 (B) 4039 (C) 674 ଶ (D) 1010 ଶ (E) 2020 ଶ

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Chessboard Coloring

Formulas

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Theorems

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Suitable Grade Level

High School