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Orders of Finish (Posted on 2008-01-12) Difficulty: 3 of 5
In a race among 10 contestants, how many orders of finish are there, counting possibilities of ties?

For example, in a 4-person race, A and B finishing at the same time, before C and D finish simultaneously, is a different order from C and D finishing together before A and B finishing together, and of course each of the 4! ways of all finishing separately are different orders.

See The Solution Submitted by Charlie    
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answer Comment 6 of 6 |
There are precisely 102,247,563  orders of finish.

Edited on February 26, 2008, 5:38 am
  Posted by K Sengupta on 2008-02-26 05:38:03

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