In how many ways can the prizes be awarded?

The three best essays in a contest will receive gold, silver,and bronze stars.There are 10 essays.
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This is an example permutation. The answer is 10*9*8=720 ways.

There is a choice of 10 for selecting gold star first, leaving 9 essays. The next choice is for silver, and so picking gold and silver =10*9=90 ways. The last is bronze for which there are 8 choices, making 10*9*8=720 ways of selecting the stars.​

 

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