Answer:
Option A - 10
Step-by-step explanation:
Given : There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB.
To find : How many color patterns are possible?
Solution :
Total number of chips = 5
So, 5 chips can be arranged in 5! ways.
There are 3 red chips and 2 blue chips.
So, choosing 3 red chips in 3! ways
and choosing 2 blue chips in 2! ways.
As changing the places of similar chip will not create new pattern.
The total pattern is given by,
[tex]T=\frac{5!}{3!\times 2!}[/tex]
[tex]T=\frac{5\times 4\times 3!}{3!\times 2}[/tex]
[tex]T=10[/tex]
Therefore, color patterns are possible are 10.
Option A is correct.
