In the next olympics, the united states can enter four athletes in the diving competition. how many different teams of four divers can be selected from a group of nine divers?
a. 36
b. 6,561
c. 126
d. 3,024

The correct option is C.

Step-by-step explanation:

From the given information it is clear that the total number of divers in a group is 9.

The number of selected divers is 4.

The total ways to select r items from total n item is

Using this combination formula, the number of different teams of four divers that can be selected from a group of nine divers is

Cancel out common factors.

Therefore the correct option is C.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)