Stack of Papers
Several identical rectangular sheets of paper lie on a table. It is known that the top sheet covers more than half the area of every other sheet. Is it necessarily possible to stick a pin into the table that will go through all these sheets?
Difficulty level (1 very easy - 10 very hard): 4
Topics:
Combinatorics
->
Pigeonhole Principle
Combinatorics
->
Combinatorial Geometry
Geometry
->
Area Calculation
Geometry
->
Plane Geometry
->
Symmetry
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