ANSWER
[tex]84[/tex]EXPLANATION
To find the number of committees of six people that can be selected from nine people, we apply Combination:
[tex]^nC_r=\frac{n!}{(n-r)!r!}[/tex]Therefore, we have:
[tex]\begin{gathered} ^9C_6=\frac{9!}{(9-6)!6!} \\ \Rightarrow\frac{9\cdot8\cdot7\cdot6!}{3!6!} \\ \Rightarrow\frac{9\cdot8\cdot7}{3\cdot2\cdot1} \\ \Rightarrow84 \end{gathered}[/tex]Hence, there are 84 different ways of selecting.
