A discrete mathematics problem by Ossama Ismail

Ahmed has \(10 \) cars, made in the years \( 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, \text{and} \ 2010\).

The cars are arranged randomly in a row. What are the probability that the three cars nearest you have dates in descending order?

Note: Example of dates being in descending order: \(2004, 2003, 2002\).

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