MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2018 India PRMO
11
11
Part of
2018 India PRMO
Problems
(1)
2018 preRMO p11, teacups in the kitchen, some wiht handles
Source:
8/8/2019
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
1200
1200
1200
. What is the maximum possible number of cups in the kitchen?
combinatorics
maximum