Virginia is going to visit 5 cities this summer. She will choose from 8 different cities and the order in which she visits the cities does not matter. How many different city combinations are possible for the summer travelling?
[tex]\begin{gathered} To\text{ choose 5 cities from 8 cites can be reprsent this way,} \\ \Rightarrow8C_5=\frac{8!}{5!\times3!}=\frac{8\times7\times6\times5!}{5!\times3\times2} \\ =56 \end{gathered}[/tex]
