Investigation 1
If a salesman travels to the capitals of the \(48\) contiguous states, what's the shortest distance traveled?
1) Make an estimate for the shortest distance. Pick a number that you know is too high and a number you know is too low.
2) What are some questions you have that would help you solve this problem?
Would it help to know that the distance between Montgomery Alabama and Jackson Mississippi is \(796\) mi.? And that the distance between Olympia WA and Helena MT is \(629\) mi.?
3) How many possible routes are there for the salesman to take?
See how close your estimate was.
Investigation 2
Why does \(0!=1\)?