Answer
1 - $\frac{5_{{P}{_{3}}}}{10_{{P}{_{4}}}}$ = $\frac{83}{84}$
Work Step by Step
1 - $\frac{5_{{P}{_{3}}}}{10_{{P}{_{4}}}}$ = 1 - $\frac{(\frac{5!}{5 - 3!})}{(\frac{10!}{10 - 4!})}$ = 1 - $\frac{(\frac{5\times4\times3\times2!}{2!})}{(\frac{10\times9\times8\times7\times6!}{6!})}$ = 1 - $\frac{5\times4\times3}{10\times9\times8\times7.}$ = 1 - $\frac{1}{84.}$ = $\frac{83}{84}$
