Question

Match the values on the left hand side with their respective values on the right hand side.

• A. $\frac{1}{2}$
• B. $\frac{1}{6}$
• C. $60$
• D. $110$

Answer 1

First expression:
$\frac{5!\times 0!}{2!}$

$=\frac{5!\times 1}{2\times 1}$

$=\frac{5\times 4\times 3\times 2\times 1}{2\times 1}$

$=60$


Second expression:
$\frac{(7-7)!}{3!}$

$=\frac{0!}{3!}$

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

$=\frac{1}{6}$


Third expression:
$\frac{0!+2!}{3!}$

$=\frac{1+(2\times 1)}{3\times 2\times 1}$

$=\frac{3}{6}$

$=\frac{1}{2}$


Fourth expression:

$\frac{11!}{0!\times 9!}$

$=\frac{11!}{1\times 9!}$

$=\frac{11\times 10\times 9!}{9!}$

$=11\times 10$

$=110$