MathDB

Putnam 1996 A3

Source:

June 4, 2014

Putnamcollege contests

Problem Statement

Suppose that each of

20

students has made a choice of anywhere from

0

to

6

courses from a total of

6

courses offered. Prove or disprove : there are

5

students and

2

courses such that all

5

have chosen both courses or all

5

have chosen neither course.

Back to Problems View on AoPS