In the 2016 Summer Olympics in Rio, there were eight runners in the final of the...

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In the 2016 Summer Olympics in Rio, there were eight runners inthe final of the men's 100 meter dash. How many possible outcomescould we have seen on the podium?
(The podium honors the first three finishers in an ORDEREDfashion. The first-place finishers gets the gold medal,second-place finisher gets the silver medal, and the third-placefinisher gets the bronze medal.)
How many possible outcomes could we have seen on the podium thatdidn't include either of the two Americans? Remember the podiumrepresents an ORDERED finish.
What is the probability that both of the American runnersmedalled? (To medal means to finish in the top three)
**Calculate under the assumption that order doesn't matter forthis calculation.
How many possible outcomes could we have seen on the podium ifwe know that a runner from Jamaica finished first, a runner fromAmerica finished second, and a runner from neither Jamaica norAmerica finished third?

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1 Total possible outcomes To start with the first place could be taken by any of the 8 finalists 8 choices The second place could be taken by any of the remaining 7 finalists 7choices And finally the third place can be filled by the remaining 6 contestants 6 choices Therefore total See Answer

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