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 not permitted, how many different units can be decorated?
A) 360
B) 25
C) 125
D) 1,296
E) None of the choices are correct

Question

Quizplus · Accepted Answer

The number of ways to choose 4 colours out of 6 is given by the combination formula C(6,4) = 15. For each group of 4 colours, there are 4! = 24 ways to assign them as principal, complementary, accent, and touches. Therefore, the total number of different units is 15 * 24 = 360.

Six Basic Colours Are to Be Used in Decorating a New