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Problems
Contests
National and Regional Contests
Sweden Contests
Swedish Mathematical Competition
1971 Swedish Mathematical Competition
3
3
Part of
1971 Swedish Mathematical Competition
Problems
(1)
remove 7 from 15 pieces of paper which cover a paper
Source: 1971 Swedish Mathematical Competition p3
3/26/2021
A table is covered by
15
15
15
pieces of paper. Show that we can remove
7
7
7
pieces so that the remaining
8
8
8
cover at least
8
/
15
8/15
8/15
of the table.
combinatorics
combinatorial geometry