brazil-enem 2017 Q160

brazil-enem · Other · enem__day2 Not Maths
The organizing committee of the 2014 World Cup created the World Cup logo, composed of a flat figure and the slogan ``Together in one rhythm'', with hands that unite forming the FIFA trophy. Consider that the organizing committee decided to use all the colors of the national flag (green, yellow, blue, and white) to color the logo, so that neighboring regions have different colors.
In how many different ways could the World Cup organizing committee paint the logo with the mentioned colors?
(A) 15
(B) 30
(C) 108
(D) 360
(E) 972
The organizing committee of the 2014 World Cup created the World Cup logo, composed of a flat figure and the slogan ``Together in one rhythm'', with hands that unite forming the FIFA trophy. Consider that the organizing committee decided to use all the colors of the national flag (green, yellow, blue, and white) to color the logo, so that neighboring regions have different colors.

In how many different ways could the World Cup organizing committee paint the logo with the mentioned colors?\\
(A) 15\\
(B) 30\\
(C) 108\\
(D) 360\\
(E) 972