MathDB
TOT 378 1993 Spring A S7 each plant characterized by 100 attributes

Source:

June 10, 2024
combinatorics

Problem Statement

In a handbook of plants each plant is characterized by 100100 attributes (each attribute may either be present in a plant or not). Two plants are called dissimilar if they differ by no less than 5151 attributes.
(a) Prove that the handbook cannot describe more than 5050 pair-wise dissimilar plants. (b) Can it describe 5050 pairwise dissimilar plants?
(Dima Tereshin)