Question

The value of $3!\times 0!$ is .

Answer 1

$\underset{–}{\text{Need to Find}:}$
The value of $3!\times 0!$

The given expression is the product of two factorials, $3!$ and $0!$

$\underset{–}{\text{Factorial}:}$
The factorial of a number is the product of all the natural numbers from $1$ upto the number itself. Symbolically, factorial can be represented as "$!$". So, $n$ factorial is the product of the first $n$ natural numbers and is represented as $n!$


$\text{For example,}$ $3$ factorial, that is, $3!$ can be written as: $3!=3\times 2\times 1=6.$

$\therefore 3!\times 0!$
$=(3\times 2\times 1)\times \left(1\right)$ $(\because 0!=1)$
$=6\times 1=6$

Therefore, the value of $3!\times 0!$ is $6.$