MathDB
Putnam 1996 B1

Source:

June 6, 2014
Putnamcollege contests

Problem Statement

Define a \emph{selfish} set to be a set which has its own cardinality as its element. And a set is a \emph{minimal }\text{ selfish} set if none of its proper subsets are \emph{selfish}. Find with proof the number of minimal selfish\text{minimal selfish} subsets of {1,2,,n}\{1,2,\cdots ,n\}.