Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2023-part-04 — 191 problems (EN–VI) Question 160

Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)

Question 160

Consider several tokens of different colors and sizes such that no two tokens have the same color and size. Each token $J$ has two numbers written on it: one represents the number of tokens with the same color as $J$ but different sizes, and the other represents the number of tokens with the same size as $J$ but different colors. It is known that each of the numbers $0, 1, \ldots, 100$ appears at least once. For what numbers of tokens is this possible?