5-digit codes are generated by using the numbers from 1 to 5 once. Any adjacent 3 digits used in one code cannot be used in the same way in another code.
For example; If code 23145 was generated, a code with 231, 314, or 145 in it cannot be generated.
What is the maximum number of codes that can be produced according to this rule?

step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

step-by-step explanation: