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mathmath333
 one year ago
Counting question
mathmath333
 one year ago
Counting question

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mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0\(\large \color{black}{\begin{align} & \normalsize \text{How many triangles can be formed from 6 given points on a circle} \hspace{.33em}\\~\\ & a.)\ 6! \hspace{.33em}\\~\\ & b.)\ 3! \hspace{.33em}\\~\\ & c.)\ \dfrac{6!}{3!} \hspace{.33em}\\~\\ & d.)\ \dfrac{5\times 6\times 4}{6} \hspace{.33em}\\~\\ \end{align}}\)

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2by induction, on the number of points, I think that we can get: \[\Large \left( {\begin{array}{*{20}{c}} 6 \\ 3 \end{array}} \right)\] triangles

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0answer given is d.)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dern just missed it didn't I?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1any 3 chosen points will make a triangle

dan815
 one year ago
Best ResponseYou've already chosen the best response.1you need 3 different points

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0what if it asked quadrilaterals 6C4 ?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1just gotta be careful though

dan815
 one year ago
Best ResponseYou've already chosen the best response.1that the points arent colinear

dan815
 one year ago
Best ResponseYou've already chosen the best response.1it should say in this question too that no 3 points are collinear

dan815
 one year ago
Best ResponseYou've already chosen the best response.1oh wait it says on a circle xD
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