Problem 13
A point moves in an x-y coordinate plane. At each step, the point may move one unit to the right,
one unit to the left, one unit up, or one unit down, meaning that it will always land on a point
with integer coordinates. If the point starts at the origin and takes a ten-step path, how many different
points could be the final point?
Don't forget to show your
WORK with your solution!
Students, email your solutions to
UNOhighschoolpow@mail.unomaha.edu.
Solutions are due by 11:59PM on Friday February 10th, 2010.
Along with your solution, include your name, your school's name,
the name of your math teacher or math club moderator, and your year in school.
