Question

Can someone help me with this geometry question? My instructor says I am wrong can you help me figure it out? I will provide you with all the information I can

Answer 1

The different orders is given as

`_nP_r=_(14)P_3`

This is simplified as

`\begin{gathered} _(14)P_3=(14!)/((14-3)!) \\ =(14!)/(11!) \end{gathered}`

This further give

`(14!)/(11!)=(14*13*12*11!)/(11!)=2184`

Therefore the answer is 2184