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3

Part of 2001 Greece Junior Math Olympiad

Problems(1)

Combinatorics with weights

Source: Archimedes Junior 2001

3/17/2020
We are given 88 different weights and a balance without a scale. (a) Find the smallest number of weighings necessary to find the heaviest weight. (b) How many weighting is further necessary to find the second heaviest weight?
combinatorics