Which question below is a permutation?

a how many different teams of four runners can a coach choose from a group of seven runners?

b you and three friends want to line up next to one another for a picture. how many ways can the picture be taken?

c you want to choose three pairs of shorts from five to go on vacation. how many groups of three pairs of shorts can you choose?

d how many groups of five movies can be chosen from 11?

You and three friends want to line up next to one another for a picture. How many ways can the picture be taken?

Step-by-step explanation:

B is a permutation because A, C, and D all ask for different groups, which means that they are combinations.

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.

the answer is 489

step-by-step explanation: