Answer:
Option 1 - 1680 distinct signals can be made with 8 flags displayed at the same time in a vertical array.
Step-by-step explanation:
Given : 8 flags displayed at the same time in a vertical array if 3 flags are white, 2 flags are red, 1 flag is checkered and the rest of the flags are yellow.
To find : How many distinct signals can be made with 8 flags ?
Solution :
The total number of flags is 8
White flag = 3
Red flag = 2
Checkered flag = 1
Yellow flag = 8-3-2-1=2
Applying the Fundamental Counting Principle which state that the multiplication of the events together to get the total number of outcomes.
The distinct signals can be made with 8 flags is
[tex]T=\frac{8!}{3!\times 2!\times 1!\times 2!}[/tex]
[tex]T=\frac{8\times 7\times 6\times 5\times 4\times 3!}{3!\times 2\times 1\times 1\times 2\times 1}[/tex]
[tex]T=1680[/tex]
Therefore,Option 1 - 1680 distinct signals can be made with 8 flags displayed at the same time in a vertical array.
