5.5. (a) There are 100 students eligible for an award, and the winner gets to ch

Question

5.5. (a) There are 100 students eligible for an award, and the winner gets to choose from among 5 different possible prizes. How many possible outcomes are there? (b) Same as in (a), but this time there is a first place winner, a second place winner, and a third place winner, each of whom gets to select a prize. However, there is only one of each prize. How many possible outcomes are there? (c) Same as in (b), except that there are multiple copies of each prize, so each of the three winners may choose any of the prizes. Now how many possible outcomes are there? Is this larger or smaller than your answer from (b)?

Explanation / Answer

5.5. (a) There are 100 students eligible for an award, and the winner gets to choose from among 5 different possible prizes. How many possible outcomes are there? (b) Same as in (a), but this time there is a first place winner, a second place winner, and a third place winner, each of whom gets to select a prize. However, there is only one of each prize. How many possible outcomes are there? (c) Same as in (b), except that there are multiple copies of each prize, so each of the three winners may choose any of the prizes. Now how many possible outcomes are there? Is this larger or smaller than your answer from (b)?

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