MathDB

9.5

Part of 1997 All-Russian Olympiad Regional Round

Problems(1)

product of 1977 numbers is 0 - All-Russian MO 1997 Regional (R4) 9.5

Source:

9/23/2024
Given a set of 19971997 numbers such that if each number in the set, replace with the sum of the rest, you get the same set. Prove that the product of numbers in the set is equal to 00.
combinatoricsnumber theory