3
Part of 1998 May Olympiad
Problems(2)
different colors on 4x4 board
Source: IV May Olympiad (Olimpiada de Mayo) 1998 L2 P3
9/17/2022
Given a grid board with each square painted a different color, you want to cut it into two pieces of equal area by making a single cut along the grid lines. In how many ways can it be done?
combinatoricsColoring
4 boats on one of the river banks
Source: IV May Olympiad (Olimpiada de Mayo) 1998 L1 P3
9/17/2022
There are four boats on one of the river banks; their names are Eight, Four, Two and One, because that is the number of hours it takes each of them to cross the river. One boat can be tied to another, but not more than one, and then the time it takes to cross is equal to that of the slower of the two boats. A single sailor must take all the boats to the other shore. What is the least amount of time you need to complete the move?
combinatorics