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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 7 people for a varsity sports team and we want to find how many different ways we can choose a group of this many people so to solve this problem. We'Re going to have to use permutations, and the reason for that is when we pick people, we can't have repetitions and also the order in which people are picked doesn't matter so with permutations. We use the formula n factorial, divided by n minus r factorial, to give us the number of desired outcomes where n is equal to the total number of people we can't pick from so are are numerators win be 30. Factorial are denominator is n, minus r, where n is still 30 and r is how many people we want for a team? So that's 7 ont. So our problem is not. We go to 30 factorial divided by 30 minus 7 factorial, and so, if he simplifies again, this is equal to 30 factorial divided by 30. Minus 7 is 23 factorial, and so, if we, if we solve for this, i plug this into my calculator, because it would be quite a large number. So this comes up to 10260432000 or 10060032600 point, and this is how many different ways that we can choose. A group of 7 people from total thirty first more steam. So this is our.

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