mathmath333
  • mathmath333
Counting question
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} & \normalsize \text{How many triangles can be formed from 6 given points on a circle} \hspace{.33em}\\~\\ & a.)\ 6! \hspace{.33em}\\~\\ & b.)\ 3! \hspace{.33em}\\~\\ & c.)\ \dfrac{6!}{3!} \hspace{.33em}\\~\\ & d.)\ \dfrac{5\times 6\times 4}{6} \hspace{.33em}\\~\\ \end{align}}\)
Michele_Laino
  • Michele_Laino
by induction, on the number of points, I think that we can get: \[\Large \left( {\begin{array}{*{20}{c}} 6 \\ 3 \end{array}} \right)\] triangles
welshfella
  • welshfella
so d?

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More answers

Michele_Laino
  • Michele_Laino
yes!
mathmath333
  • mathmath333
answer given is d.)
mathmath333
  • mathmath333
thank vermuch
Michele_Laino
  • Michele_Laino
:)
anonymous
  • anonymous
dern just missed it didn't I?
dan815
  • dan815
any 3 chosen points will make a triangle
dan815
  • dan815
you need 3 different points
dan815
  • dan815
so 6 choose 3
mathmath333
  • mathmath333
what if it asked quadrilaterals 6C4 ?
dan815
  • dan815
yep
dan815
  • dan815
just gotta be careful though
dan815
  • dan815
that the points arent colinear
dan815
  • dan815
it should say in this question too that no 3 points are collinear
dan815
  • dan815
oh wait it says on a circle xD

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