Difference between revisions of "2000 PMWC Problems/Problem T4"

(Created page with "==Problem== Use the four colours red, yellow, blue and green to fill in the regions of the following diagram so that the adjacent regions are not the same colour. How many differ...")
 
(No difference)

Latest revision as of 21:32, 21 April 2014

Problem

Use the four colours red, yellow, blue and green to fill in the regions of the following diagram so that the adjacent regions are not the same colour. How many different ways are there to colour the regions?

[asy] import geometry; draw((0,0)--(3,0)--(3,2)--(0,2)--cycle); draw((0,1)--(1.5,2)); draw((2.3,0)--(2.3,0.7)--(3,0.7)); draw(ellipse((1.5,1),0.6,0.5)); //Credit to chezbgone2 for the diagram[/asy]

Solution

See Also