Carcass wrote:
In how many different ways can a coach distribute 3 prizes (gold, silver, and bronze) to 3 players out of 10 players so that John, who is one among the 10 players, gets a prize?
This is fairly easy. First, let's recognise that the order matters. Then, Coach wants John to be one of the winners, so finding the other two winners= 9*8. Because we don't know whether John will win a Gold or a Silver or a Bronze, total no. of ways = 9*8*3 = 216.
Hope this helps!