A 5k run has 75 people participate in it The race directors

A 5k run has 75 people participate in it. The race directors give out medals to the athletes that place 1st 2nd. or 3rd. How many different combinations of 3 runners could make up the top 3 out of the 75 runners total?

The Number of diffrent combinations of 75 people is = 75 C 3 = (75*74*73)/(3*2*1) = 67525 possible combinations are exist