Families of finite sets satisfying an intersection condition
Families of finite sets satisfying an intersection condition
The following theorem is proved. Let X be a finite set of cardinality n ≥ 2, and let F be a family of subsets of X. Suppose that for F 1 , F 2 , F 3 ∈ F we have | F 1 ∩ F 2 ∩ F 3 …