Home › A flag consists of three blocks arranged in a ro…
A flag consists of three blocks arranged in a row, and each block must be coloured differently. If 6 different colours are available, how many such flag designs are possible?
A18
B36
C120
D216
Answer & Solution
Correct answer: C. 120
The first block can be coloured in 6 ways, the second in 5 remaining ways, and the third in 4 remaining ways. Therefore the number of designs is $6\times 5\times 4=120$.