Can you help me with a probability question?

A person would need to know something about golf to answer this question.

The total  possible orders of finish  = 8!  = 40320

The order we're looking for is for the three individuals to finish in the top three  [ in any order]  = 3!   = 6 and the other 5 to finish in any order = 5!   = 120

So....the probability of this occurence =     [6 * 120] / 40320   =  720/ 40320   =  1/56