MathDB

There are

c

red,

p

blue, and

b

white balls on a table. Two players

A

and

B

play a game by alternately making moves. In every move, a player takes two or three balls from the table. Player

A

begins. A player wins if after his/her move at least one of the three colors no longer exists among the balls remaining on the table. For which values of

c,p,b

does player

A

have a winning strategy?

Problem Statement