There were 11 students running in a race how many different arrangements of first second and third place are possible

Explanation:

For first place, we have 11 choices

11 × __ × __

For second place, we have 10 choices

11 × 10 × __

And for third place, we have 9 choices

11 x 10 x 9 = 990 ways

This is also a permutation

11! / (11-3)! = 990

Hope it helps

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)