There are 2 black balls, one red ball and one green ball, identical in shape and size. how many different linear arrangements can be generated by arranging these balls?

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

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

Hence, the number of different linear arrangements can be generated by arranging these balls is 12.

step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950