Question 87
A train has $n\gt1$ carriages containing gold coins. There are two apparently identical types of coins: genuine and counterfeit. Each carriage contains only one type. Coins of the same type have the same mass, while the two types have different masses. The mass of a genuine coin is known.
Determine the minimum number of weighings on a digital scale that can identify all carriages containing counterfeit coins and determine the mass of a counterfeit coin.
(Assume any number of coins may be taken from each carriage.)
(Miloš Milosavljević)
Determine the minimum number of weighings on a digital scale that can identify all carriages containing counterfeit coins and determine the mass of a counterfeit coin.
(Assume any number of coins may be taken from each carriage.)
(Miloš Milosavljević)