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Science & Mathematics by Anonymous 2018-05-18 11:07:17
Social Science
A total of 15 people are running a marathon.How many different ways can the gold, silver, and bronze medals be awarded?
2 answers
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Anonymous
This is a permutation question.. 15P3 = 15!/(15 - 3)! 15P3 = 15!/12! 15P3 = (15 x 14 x 13 x 12)/(12 x 11 x 10 x 9) 15P3 = 15 x 14 x 13 15P3 = 2,730 ways
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Anonymous
15P3 = 15! / (15-3)! = 15*14*13 = 2,730 ways The gold can be awarded in 15 ways. Once the gold has been awarded, the silver can be awarded in 14 ways. Once the gold and silver have been awarded the bronze can be awarded in 13 ways.