A general is choosing a cook from 625 volunteers. He orders them to form a 25 x 25 square. He orders the tallest man in each row to step aside and chooses the shortest of the twenty-five. Then he changes his mind and has them go back to their places. He orders the shortest man in each column to step aside and chooses the tallest of these twenty-five.
The two cooks chosen by the two methods are different. Which one is taller?