1

Part of 1963 Vietnam National Olympiad

Problems(1)

Men and women in a conference

Source: Vietnam NMO 1963 Problem 1

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

n

combinatorics unsolvedcombinatorics