Question 126
A Pattano coin is a coin which has a blue side and a yellow side. A positive integer not exceeding $100$ is written on each side of every coin (the sides may have different integers).
Two Pattano coins are *identical* if the number on the blue side of both coins are equal and the number on the yellow side of both coins are equal.
Two Pattano coins are *pairable* if the number on the blue side of both coins are equal or the number on the yellow side of both coins are equal.
Given $2559$ Pattano coins such that no two coins are identical. Show that at least one Pattano coin is pairable with at least $50$ other coins.
Two Pattano coins are *identical* if the number on the blue side of both coins are equal and the number on the yellow side of both coins are equal.
Two Pattano coins are *pairable* if the number on the blue side of both coins are equal or the number on the yellow side of both coins are equal.
Given $2559$ Pattano coins such that no two coins are identical. Show that at least one Pattano coin is pairable with at least $50$ other coins.