Question

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?

Answer 1

`\begin{gathered} To\text{ choose 5 cities from 8 cites can be reprsent this way,} \\ \Rightarrow8C_5=(8!)/(5!*3!)=(8*7*6*5!)/(5!*3*2) \\ =56 \end{gathered}`