MathDB
Calculate number of 3-element subsets with the property

Source: IMO LongList 1979 - P2

May 29, 2011
floor functionprojective geometrycombinatorics proposedcombinatorics

Problem Statement

For a finite set EE of cardinality n≥3n \geq 3, let f(n)f(n) denote the maximum number of 33-element subsets of EE, any two of them having exactly one common element. Calculate f(n)f(n).
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