Answer: The number of different linear arrangements can be generated by arranging these balls is 12.
Step-by-step explanation:
The number of ways to arrange n things in a line where a things are like and b things are like is [tex]\dfrac{n!}{a!\ b!\ ....}[/tex]
Given : There are 2 black balls, one red ball and one green ball, identical in shape and size.
Total balls = 2+1+1=4
Here 2 black balls are alike.
So , the number of different linear arrangements can be generated by arranging these balls would be[tex]\dfrac{4!}{2!}=\dfrac{4\times3\times2!}{2!}=12[/tex]
Hence, the number of different linear arrangements can be generated by arranging these balls is 12.
