MathDB

5

Part of 1995 May Olympiad

Problems(1)

26 authentic coins from 105 totally, 3 fake

Source: I May Olympiad (Olimpiada de Mayo) 1995 L2 P5

9/17/2022
We have 105105 coins, among which we know that there are three fake ones. Authentic coins have all the same weight, which is greater than that of the false ones, which also have the same weight. Determine from can 2626 authentic coins be selected by weighing only two in one two pan balance.
combinatoricsgame