MathDB

495

Part of 1989 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 495 All Soviet Union MO 1989 1998 normal coins, 1 heavy coin, 1 light

Source:

8/13/2019
We are given 19981998 normal coins, 11 heavy coin and 11 light coin, which all look the same. We wish to determine whether the average weight of the two abnormal coins is less than, equal to, or greater than the weight of a normal coin. Show how to do this using a balance 44 times or less.
weighingscombinatorics