Any help on this one would be very much appreciated.
There are 10 horse races and in each race a jockey is awarded 3 points for winning the race, 2 points for running second, 1 point for running third and 0 points for running 4th or worse. If we know the odds of each of those outcomes for each jockey in each of the 10 races how do we work out the number of ways there are of a jockey each of the possible number of points.