Tommy The Horse

There are 10 horses in a race. Tommy (the horse) is really fast and always get in the top three. How many different are there to hand out a gold medal (for first place), a silver medal (for second place), and a bronze medal (for third place)? If Tommy always gets in the top 3.

720 270 432 216 1088640

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1 solution

there are three cases. one where Tommy is in first one where he is in second and another where he is in third. in each case there is 2 spots we have to calculate. the first place has 9 options and the second has 8. So

3 8 9 = 216 3*8*9 = \fbox{216}

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