How many different 4-digit personal identification numbers are possible if no digit can be used twice? a. 1,000 b. 5,040 c. 9,000 d. 10,000 Please select the best answer from the choices provided A B C D.

b.

Step-by-step explanation:

There are 10 digits 0 - 9.

Using the formula for r permutations from n:

nPr = n!/ (n - r)!

- so the answer  would be 10! / (10 - 4)!

= 5040.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.