Hard Probability Puzzle

#171

There was a race going on between 8 persons. In how many ways, counting the ties, they can reach the destination i.e. finishing line ?
For example : Two persons, A and B, can reach the destination in 3 ways.
A wins, B wins or a Tie.

  Difficulty Level - 5/5

  For Solution : Click Here     
  For Hint : Click Here