Question

evaluate the following expression. It's pressure answer to fraction or decimal rounded to four decimal places.

Answer 1

`\begin{gathered} nPr=(n!)/((n-r)!),\text{ solve for 10P8} \\ 10P8=(10!)/((10-8)!) \\ 10P8=(10!)/(2!) \\ 10P8=(3628800)/(2) \\ 10P8=1814400 \\ nCr=(n!)/(r!(n-r)!),\text{ solve for 10C7} \\ 10C7=(10!)/(7!(10-7)!) \\ 10C7=(10!)/(7!\cdot3!) \\ 10C7=(10\cdot9\cdot8)/(3\cdot2) \\ 10C7=120 \\ \\ (10P8)/(10C7)=\text{?} \\ (10P8)/(10C7)=(1814400)/(120) \\ (10P8)/(10C7)=15120 \end{gathered}`