writes: "Numerous studies, and conventional wisdom, suggest that men tend to have more sexual partners than women do. For example, a recent federal study concluded that, in their lifetimes, men had a median of seven partners and women four. But simple logic indicates this is impossible. This article addresses some of the mathematical considerations and cites a math professor's proof:
"By way of dramatization, we change the context slightly and will prove what will be called the High School Prom Theorem. We suppose that on the day after the prom, each girl is asked to give the number of boys she danced with. These numbers are then added up giving a number G. The same information is then obtained from the boys, giving a number B.
The article also tries to explain some possible reasons for the discrepancy."
Proof: Both G and B are equal to C, the number of couples who danced together at the prom. Q.E.D."