Question

There are 14 people sitting at a coffee shop. How many ways can the shop hand out 6 surveys for the customers to complete?

Answer 1

Explanation

From the question,

• There are 14 people sitting at a coffee shop

,

• 6 surveys are to be handed out

This can be carried out as follows:

`\begin{gathered} ^nP_r=(n!)/((n-r)!) \\ ^(14)P_6=(14!)/((14-6)!)=(14!)/(8!) \\ =(14*13*12*11*10*9*8!)/(8!) \\ =14*13*12*11*10*9 \\ =2162160\text{ }ways \end{gathered}`

Hence, this can be done in 2162160 ways.