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Auckland Mathematical Olympiad
2023 Auckland Mathematical Olympiad
3
3
Part of
2023 Auckland Mathematical Olympiad
Problems
(1)
0 or 1 checkers in 8x8 board (2023 Auckland MO p3)
Source:
3/26/2024
Each square on an
8
×
8
8\times 8
8
×
8
checkers board contains either one or zero checkers. The number of checkers in each row is a multiple of
3
3
3
, the number of checkers in each column is a multiple of
5
5
5
. Assuming the top left corner of the board is shown below, how many checkers are used in total? https://cdn.artofproblemsolving.com/attachments/0/8/e46929e7ec3fff9be4892ef954ae299e0cb8c7.png
algebra
number theory