Which of the following is the definition for permutation?

The answer is D. Selections of objects in which the order of the objects matters.

Step-by-step explanation:

Permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement.

The formula for permutation: A permutation is the choice of (r) things from a set of (n) things without replacement and where the order matters. Formula-  

Permutation can be classified in three different categories:

Permutation of (n) different objects (when repetition is not allowed)Repetition, where repetition is allowedPermutation when the objects are not distinct (Permutation of multi sets)

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

so the change in y-value for function f is (6 )) = 9.

the table tells us

g(-2) = 1g(1) = 31

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

I'm pretty sure it's b). i try drawing the functions out and b is the one that stands out or isnt a "line"