MathDB
2018 preRMO p11, teacups in the kitchen, some wiht handles

Source:

August 8, 2019
combinatoricsmaximum

Problem Statement

There are several teacups in the kitchen, some with handles and the others without handles. The number of ways of selecting two cups without a handle and three with a handle is exactly 12001200. What is the maximum possible number of cups in the kitchen?