Answer
$\frac{7_{{C}{_{3}}}}{5_{{C}{_{4}}}}$ - $\frac{98!}{96!}$ = -9499
Work Step by Step
$\frac{7_{{C}{_{3}}}}{5_{{C}{_{4}}}}$ - $\frac{98!}{96!}$
= $\frac{\frac{7!}{(7 - 3!). 3!}}{\frac{5!}{(5 - 4!).4!}}$ - $\frac{98!}{96!}$
= $\frac{\frac{7!}{4!. 3!}}{\frac{5!}{1!.4!}}$ - $\frac{98!}{96!}$
= $\frac{\frac{7\times6\times5\times4!}{4!. 3\times2\times1}}{\frac{5\times4!}{1!.4!}}$ - $\frac{98\times97\times96!}{96!}$
= $\frac{\frac{7\times6\times5}{3\times2}}{5}$ - $98\times97$
= 7 - $98\times97$
= -9499
