Problem
Twenty distinct cars park in the same parking lot every day. Ten of these cars are US-made. while the other ten are foreign-made. The parking lot has exactly twenty spaces. all in a row. so the cars park side by side. However. the drivers have varying schedules. so the position any car might take on a certain day is random.
(a) In how many different ways can the cars line up?
(b) What is the probability that on a given day, the cars will park in such a way that they alternate (no two US-made are adjacent and no two foreign-made are adjacent)?
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.