Question

Five people are playing a game where they win if they are in a chair when the music stops. But there are only two chairs. How many different pairs of people are possible?

Answer 1

`\begin{gathered} Number\text{ of people}\Rightarrow5 \\ \text{Number of chair}\Rightarrow2 \\ The\text{ situatin to win the game is,} \\ 5_(C2)=(5!)/(3!2!) \\ 5_(C2)=(5*4*3*2*1)/(3*2*1*2*1) \\ 5_(C2)=10 \end{gathered}`