Question

Match the Column I with their respective answer in Column II.

• A. $8$
• B. $\frac{1}{2}$
• C. $\frac{1}{90}$
• D. $120$

Answer 1

$\frac{6!}{3!}=\frac{6\times 5\times 4\times 3!}{3!}$
$=6\times 5\times 4=120$

$\frac{2!\times 3!}{4!}=\frac{2!\times 3!}{4\times 3!}$
$=\frac{2!}{4}=\frac{2\times 1}{4}=\frac{1}{2}$

$\frac{(9-1)!}{7!}=\frac{8!}{7!}=\frac{8\times 7!}{7!}=8$

$\frac{8!}{(8+2)!}=\frac{8!}{\left(10\right)!}$
$=\frac{8!}{10\times 9\times 8!}$
$=\frac{1}{10\times 9}=\frac{1}{90}$