Question

Use the formula for n^P_r to evaluate the following expression.

Answer 1

Use the following formula:

`_nP_r=(n!)/((n-r)!)`

Then, for 11P6:

`\begin{gathered} _(11)P_6=(11!)/((11-6)!)=(11!)/(5!)=(5!\cdot6\cdot7\cdot8\cdot9\cdot10\cdot11)/(5!) \\ _(11)P_6=6\cdot7\cdot8\cdot9\cdot10\cdot11=332640 \end{gathered}`

Hence, the result is 332640