2018 BAMO A 25 people of different heights in 5x5 grid, taller?
Source:
August 26, 2019
combinatoricsgridsquare table
Problem Statement
Twenty-five people of different heights stand in a grid of squares, with one person in each square. We know that each row has a shortest person, suppose Ana is the tallest of these five people. Similarly, we know that each column has a tallest person, suppose Bev is the shortest of these five people.
Assuming Ana and Bev are not the same person, who is taller: Ana or Bev?
Prove that your answer is always correct.