2

Part of 1994 China National Olympiad

Problems(1)

China Mathematical Olympiad 1994 problem2

Source: China Mathematical Olympiad 1994 problem2

m

pieces of candy held in

n

n,m\ge 4

). An operation is defined as follow: take out one piece of candy from any two trays respectively, then put them in a third tray. Determine, with proof, if we can move all candies to a single tray by finite operations.

pigeonhole principlecombinatorics unsolvedcombinatorics