Problem 7 - Bike Unlocked

Professor Plum loves to ride a bicycle to work, so he has not bought a University parking pass in years (partially because he is very cheap). He loves finding free “curb-rescue” bikes. In fact, he has a whole garage full of them. One problem is that these bikes often come with a bike lock wrapped around their frame. These bike locks have 3, 4, or 5 digit combinations where the range of each digit