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This was the first draft of a challenge question we wanted to include in challenge 2. I wrote it.
I and bb could not quite agree on a solution, so this question was not included. Actual question text would have been much shorter. I am not including answer choices here..just to see how you guys approach the problem. Let me know if there are any inconsistencies.
For the summer, a group of eight friends made plans for a road trip from Houston, Texas to Washington D.C. Some of the friends wanted to stop over by their friends place on the way, so they decided to start out on two different routes. They studied various candidate routes and chose 2 routes, Route 1 and Route 2. A group of 4 will start out on Route 1 and a group of 4 will start out on Route 2. Paul and Jessica want to visit their friend in Knoxville and they can only go on Route 2. If only 4 people can be seated in one car and all the friends will take turns in driving during the trip, in how many ways can the group of eight be seated in two cars?