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LeAnn01Xxx
 one year ago
A class has 20 students. If the teacher is randomly putting students in groups of 3 to complete a project, what is the probability that three students who are best friends will be together?
1/20
3/20
1/1,140
LeAnn01Xxx
 one year ago
A class has 20 students. If the teacher is randomly putting students in groups of 3 to complete a project, what is the probability that three students who are best friends will be together? 1/20 3/20 1/1,140

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0easy way or hard way or both?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0actually even the hard way is not that hard

LeAnn01Xxx
 one year ago
Best ResponseYou've already chosen the best response.0It doesn't matter, just a way that i'll understand it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok lets compute the number of ways to choose 3 people out of a set of 20, called "20 choose 3" and written as \(\binom{20}{3}\) or \(_{20}C_3\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0easy to do with a calculator, it is a rather large number do you know how to compute it?

LeAnn01Xxx
 one year ago
Best ResponseYou've already chosen the best response.0One sec. Let me get my calculator.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0easier to use this http://www.wolframalpha.com/input/?i=20+choose+3

LeAnn01Xxx
 one year ago
Best ResponseYou've already chosen the best response.0OKay so is it 3/20?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0did you open the link i sent? \[_{20}C_3=1440\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that is the number of possible groups of 3 only one of them has all three best friends, so probability is \[\frac{1}{1440}\]
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