Six basic colours are to be used in decorating a new condominium. They are to be applied to a unit in groups of four colours. One unit might have gold as the principal colour, blue as a complementary colour, red as the accent colour and touches of white. Another unit might have blue as the principal colour, white as the complimentary colour, gold as the accent colour and touches of red. If repetitions are permitted, how many different units can be decorated?
A) 7,825
B) 25
C) 125
D) 1,296
E) None of the choices are correct

Question

Quizplus · Accepted Answer

Since repetitions are permitted, each of the four positions (principal, complementary, accent, touches) can be filled by any of the six colors. Therefore, the total number of combinations is 6^4 = 1,296.

Six Basic Colours Are to Be Used in Decorating a New