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Chase W.

Intro Stats / AP Statistics

1 week, 1 day ago

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So from a group of 30 people, we have to choose 27 people for our city sports team and we want to find how many different ways we can make unique teams and choose a group of this. Many people 27 point so to solve this problem. We'Re going to have to use permutations, and the reason for that is when you're dealing with permutations you deal with events where repetitions cannot occur in our case or event is picking people, and we can't somehow pick the same person twice and also the order in which People are picked, does matters so with permutations. We use the formula n factorial, divided by n minus r factorial, to give us a number of desired outcomes. Where n is the total number of people we can pick from in our case is 30 point, and so in the denominator we have n, minus r is 30 and r is how many people we want so jest desire. People is 27 point, so the simplifies the 30 factorial over 30 minus 27 factorial, which even further goes down 30 factorial divided by 3 factorial. So i plugged that into my calculator- it's gonna be quite a large number, but in scientific notation i get 4.42 times 10 to the 31 point. So this is how many unique ways you can choose: 27 people for a sportam from a total of 30 poi.

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