MathDB

Men and women in a conference

Source: Vietnam NMO 1963 Problem 1

February 2, 2009

combinatorics unsolvedcombinatorics

Problem Statement

A conference has

47

people attending. One woman knows

16

of the men who are attending, another knows

17

, and so on up to the

m

-th woman who knows all

n

of the men who are attending. Find

m

and

n

.

Back to Problems View on AoPS