Question: 19.Five students from this class are running a race.How many different ways are there for the 5 students to get first,second, and third place?What is

19.Five students from this class are running a race.How many different ways are there for the 5 students to get first,second, and third place?What is the calculated value for this problem?

20.To drum up business and to get customers to trydifferent varieties of cupcakes, a local bakery is offering one free "luck of the draw" cupcake. That is, a cupcake is randomly selected from what is on hand and given to the customer to try. Currently, the cupcakes available are made of chocolate, vanilla, or strawberry and have one of three toppings: rainbow sprinkles, chocolate chips, or gummy bears. The different configurations of the 100 cupcakes available for the "luck of the draw" promotion are depicted in the table below.

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