Tattoo congress
Source: Russian TST 2016, Day 9 P1 (Group NG), P3 (Groups A & B)
April 19, 2023
combinatorics
Problem Statement
Several people came to the congress, each of whom has a certain number of tattoos on both hands. There are types of tattoos, and each of the types is found on the hands of at least people. For which pairs is it always possible for each participant to raise one of their hands so that all types of tattoos are present on the raised hands?