A probability problem by Ossama Ismail

Probability Level 2

Ahmed has 10 10 cars, made in the years 2000 , 2001 , 2002 , 2003 , 2004 , 2005 , 2006 , 2007 , 2008 , and 2010 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 2004, 2003, 2002 .

1 6 \frac{1}{6} 2 5 \frac{2}{5} 1 3 \frac{1}{3} 1 2 \frac{1}{2}

Ossama Ismail by Ossama Ismail , 63, Egypt

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