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Intro Stats / AP Statistics
1 week, 1 day ago
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From a group of 30 people, we have to choose 9 for our sport team, and so we want to find how many different ways we can choose a group of this many people. So the first thing to realize is that to solve this problem, we're gonna have to use permutations, and the reason for that is because, with permutations we deal with events where the order in which events occur doesn't matter, and also there can't be repetitions. When we pick people the order which they are picked doesn't matter and we can't have, the same person can be picked twice so. For that reason, we use permutations in the formula n factorial, divided by n minus r factorial, where n is a total number of people we want to pick from so that's 30 and our denominators and minus r factorial, where n is still 30 and just how many People we want this 9 point. So if we simplify this expression, we get 30 factorial divided by 30. Minus 9. Factorial 30. Minus 9 is 21 point, so this is 21 factorial, and so we have 30 factorial divided by 21 factorial in scientific notation from my calculator, because it's gonna be quite a large number. This is 5.19 times 10 to the 12 point, and so this is how many different ways we can choose a of 9 people from a total of 34 verses portent. So this is wer.
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