Part A:
Given that a<span>t a gymnastics meet, twenty gymnasts compete for first, second, and third place. The number of ways </span><span>first, second, and third place can be assigned</span><span> is given by

Part B:
</span>Given that at a gymnastics meet, twenty gymnasts compete for first, second, and third place. If the t<span>hird place has been announced the number of ways that the remaining two places can be assigned</span> is given by :
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Part C:
Given that at a gymnastics meet, twenty gymnasts compete for first, second, and third place. If the third and second places have been announced the number of ways that the <span>first place</span> can be assigned is given by :