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mathmath333
 one year ago
A teacher has to choose the maximum different
groups of three students from a total of six students. Of
these groups, in how many groups there will be included a
particular student ?
mathmath333
 one year ago
A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included a particular student ?

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mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0\(\large \color{black}{\begin{align} & \normalsize \text{A teacher has to choose the maximum different }\hspace{.33em}\\~\\ & \normalsize \text{groups of three students from a total of six students. Of }\hspace{.33em}\\~\\ & \normalsize \text{these groups, in how many groups there will be included a }\hspace{.33em}\\~\\ & \normalsize \text{particular student ? }\hspace{.33em}\\~\\ \end{align}}\)

kropot72
 one year ago
Best ResponseYou've already chosen the best response.2Having chosen the particular student, there are 5 students remaining from which to choose two students. Therefore there are 5C2 ways of choosing three students, with each choice including the particular student.

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0i still don't understand

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1you have 6 students, one student is in every group of 3, so you might as well pick that student. Well now there are 5 left and we want all the possible ways of choosing 2 of them to join our original student to make a group of three, i.e. 5c2.

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1this is why the power set of a set of N elements has 2^N elements.

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0in the question it is not asked to choose 2 students out of remaining 5

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1you are correct, but these groups of 3 that we have out of 6 people, all have 1 person in common, so it reduces to that problem

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1"you have 6 students, one student is in every group of 3, so you might as well pick that student. Well now there are 5 left "

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1do the same thing with 4 people instead of 6 and play with it on paper and you will see the idea
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