MathDB

9.6

Part of 2000 All-Russian Olympiad Regional Round

Problems(1)

2000 balls, weigh 10 or 9.9 - All-Russian MO 2000 Regional (R4) 9.6

Source:

9/26/2024
Among 20002000 outwardly indistinguishable balls, wines - aluminum weighing 100 g, and the rest - duralumin weighing 9.99.9 g. It is required to select two piles of balls so that the masses of the piles are different, and the number of balls in them - the same. What is the smallest number of weighings on a cup scale without weights that can be done?
combinatoricsweighings