Question
A telecommunications cable contains 8 wires that are colour coded. there are 8 different colours. how many different ways could these colours be arranged.
A. 40 320
B. 5 040
C. 256
D. 224
A. 40 320
B. 5 040
C. 256
D. 224
Answers
MathMate
Assume they are position dependent.
The first wire has 8 ways, the second has 7, so there are 56 ways. Continue this way down to the last wire (1 way). Multiply them together and see that the product matches one of the answers.
The first wire has 8 ways, the second has 7, so there are 56 ways. Continue this way down to the last wire (1 way). Multiply them together and see that the product matches one of the answers.