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1987 All Soviet Union Mathematical Olympiad
456
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1987 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 456 All Soviet Union MO 1987 9 or 10 of 33 knights in night guard
Source:
8/7/2019
Every evening uncle Chernomor (see Pushkin's tales) appoints either
9
9
9
or
10
10
10
of his 33 "knights" in the "night guard". When it can happen, for the first time, that every knight has been on duty the same number of times?
combinatorics
algebra