The numbers and letters on a license plate are determined by the state that issues the license plate. Suppose a state had a system that used 5 letters and 2 digits for a total of 7 characters on a license plate. How many different license plates can this system produce?

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?