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How to figure out permutations, combinations and the fundamental counting principle


label Mathematics
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schedule 1 Day
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  1. How many different ways can 28 runners place in an Olympic qualifying marathon?
  2. If only the eight fastest runners advance to the Olympics; how many different ways can the eight fastest runners be chosen from the whole field of 28 runners?
  3. If the runner in first place receives a gold medal, the runner in second place receives a silver medal, and the runner in third place receives a bronze medal, how many different ways can the three medalists be chosen from the entire field of 28 runners?
Nov 23rd, 2017

1. 28! = 3.0489 x 10^29

2. 28C8 = 3,108,105

3.  28P3 = (28)(27)(26) = 19,656

Apr 11th, 2015

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Nov 23rd, 2017
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Nov 23rd, 2017
Nov 23rd, 2017
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