MathDB

200

soldiers occupy in a rectangle (military call it a square and educated military a carree):

20

men (per row) times

10

men (per column). In each row, we consider the tallest man (if some are of equal height, choose any of them) and of the

10

men considered we select the shortest (if some are of equal height, choose any of them). Call him

A

. Next the soldiers assume their initial positions and in each column the shortest soldier is selected, of these

20

, the tallest is chosen. Call him

B

. Two colonels bet on which of the two soldiers chosen by these two distinct procedures is taller:

A

B

. Which colonel wins the bet?

Problem Statement