Write a program that displays a 500 x 500 pixel graphics window. Display a message at the top of the graphics window inviting the user to click a point on a (as yet non-existent) circle. After the user clicks the mouse, ask them to click a point on the opposite side of the circle. Draw a circle that passes through these two points and whose center is midway between them. Color the circle’s interior red. Now, repeat the following steps five times: ask the user to click a new point (again, display this prompt at the top of the graphics window) and then move the circle so that its center is at this new point.

Assignment: permutations use the permutation formula   r ! ! n n p nr   to solve each problem. be sure to show all work leading to your answer. part i: solve real-world permutation problems choose any four (4) of the following five problems to solve. for each problem a) show how the permutation formula can be used to find the answer and b) write a sentence to explain the meaning of the answer for the situation. 1. to register for online banking services at a local credit union, you need to select a four-digit personal identification number, or pin code. the digits cannot be repeated. how many ways are there to arrange four digits out of the numerals 0 through 9 to create a code?