Post 1
Hello Everyone,
There are 128 runners from 27 countries competing in a track meet. The betting pool needs to know how many outcomes there may be for the top 3 finishers. How many different outcomes are there for the top 3 with 128 runners?
To answer this permutation all that is needed is to multiply the number of runners by the (number of runners minus one) until the number of places is equivalent to the number of multiplications used.
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128
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127
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126
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1st place
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2nd place
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3rd place
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128 * 127 * 126 = 2048256 or P(128, 3)
There are 2048256 possible outcomes for the top 3 finishers of the track meet.
Post 2
Hello everyone,
During a selection for a special duty, the judges had to pick 5 people from 15 contestants. How many different groups could you get from the 15 contestants? This would be a combination type of question. The order does not matter.
N = 15 (Total number of contestants)
R = 5 (Total number that will be picked)
15!/(15-5)!5! = 8!/10!5! = 3003
Now you can see there is 3003 ways to pick for the 5 person team of the 15 who applied.
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