LeAnn01Xxx
  • LeAnn01Xxx
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
easy way or hard way or both?
anonymous
  • anonymous
actually even the hard way is not that hard
LeAnn01Xxx
  • LeAnn01Xxx
It doesn't matter, just a way that i'll understand it.

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More answers

anonymous
  • anonymous
ok 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
  • anonymous
easy to do with a calculator, it is a rather large number do you know how to compute it?
LeAnn01Xxx
  • LeAnn01Xxx
One sec. Let me get my calculator.
anonymous
  • anonymous
easier to use this http://www.wolframalpha.com/input/?i=20+choose+3
LeAnn01Xxx
  • LeAnn01Xxx
OKay so is it 3/20?
anonymous
  • anonymous
oh no
anonymous
  • anonymous
did you open the link i sent? \[_{20}C_3=1440\]
anonymous
  • anonymous
that is the number of possible groups of 3 only one of them has all three best friends, so probability is \[\frac{1}{1440}\]
LeAnn01Xxx
  • LeAnn01Xxx
Yeah I did.

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