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This is a problem in Algorithms and Probability and it's seemingly the easiest one, and I...

This is a problem in Algorithms and Probability and it's seemingly the easiest one, and I can't understand how to solve it. There's some probabilistic way to calculate it, I just don't know how or what.

Consider an arrangement of 17 distinct cars parked next to each other in a row from left to right. Show that no matter how this is done there will always be 5 cars (left to right) so that their price is either increasing (not smaller than the previous) or decreasing (not larger than the previous) in the order from left to right.

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