Question

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Part 1
Solve by the method of your choice.
Twenty dash one people purchase raffle tickets. Three winning tickets are selected at random. If first prize is ​$2000​, second prize is ​$1500​, and third prize is ​$200​, in how many different ways can the prizes be​ awarded?
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Part 1
There are
  
enter your response here different ways in which the prizes can be awarded.
​(Simplify your​ answer.)

Answer 1

There are 21 people and the prizes are distinct (first, second, third), so order matters.
Number of ways = P(21,3) = 21·20·19 = 7,980.

So there are 7,980 different ways.