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The 2022 winter olympics recently took place. 30 competitors participated in the biathlon mass start event. While everyone wants gold, getting any of the top

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The 2022 winter olympics recently took place. 30 competitors participated in the biathlon mass start event. While everyone wants gold, getting any of the top 3 places gets you a medal, and is far better than most of us could do at this sport. How many different ways can 30 competitors finish first, second, or third? 0: Vaccines against the delta variant of the coronavirus are approximately 90% effective against hospitalization. The area served by a certain hospital has a vaccination rate of 80% of the entire population. If you select a person at random from that hospital who is hospitalized with covid, how likely is that they are vaccinated? 5:

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