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Mathematics, 20.05.2021 23:40 soccergirl88821

Pls help this is due in an hour pls!! i will give brainliest Although the national medal standings are not recognized by the
International Olympic Committee (IOC), these standings are usually compiled for
each Olympics. Here are the final standings for the top ten teams for the 2000 Summer Olympics in Sydney. G represents gold medals won, S represents silver
medals won, B represents bronze medals won, and T represents total medals won. Country G S B T
United States 40 24 33 97
Russia 32 28 28 88
China 28 16 15 59
Australia 16 25 17 58
Germany 13 17 26 56
France 13 14 11 38
Italy 13 8 13 34
Cuba 11 11 7 29
Great Britain 11 10 7 28
Netherlands 12 9 4 25

1. If the top ten nations were randomly selected to march, one after another, into the stadium at the closing ceremonies, in how many ways could the nations have marched in?

2. Assume that the medals won by the Netherlands were won by twenty-five different athletes. These athletes are selected to compete in a contest for charity. Their names will then be listed on a plaque with the athletes who place first, second, and third listed before the others. How many different ways are there to list the top three athletes’ names on the plaque?

3. Assume that the gold medals won by Australia were won by sixteen different athletes. Following the Olympics, a parade of the Australian Olympic participants was held in Sydney. The gold medal winners marched at the head of the column, with four of the sixteen medalists carrying the Australian flag in the front row. If the arrangement of the four gold medal winners in the front row isn’t important, how many combinations of these four athletes are there?

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