Answer
False Statement
Work Step by Step
$n,$ $n!=n\left( n-1 \right)$
A natural number is an integer greater than zero.
The set of natural numbers is $N=\left\{ 1,2,3,4,\ldots \right\}$
The factorial of any number is that number times the factorial of that number minus 1.
Thus $n!=n\left( n-1 \right)!$
Or, $n!=n\left( n-1 \right)\left( n-2 \right)\ldots 2\cdot 1$
For the natural number $n=4$
Therefore, $4!=4\left( 4-1 \right)\left( 4-2 \right)\left( 4-3 \right)$
$=4\cdot 3\cdot 2\cdot 1$
But according to the given statement $4!=4\left( 4-1 \right)$ which is not correct.
Thus, the given statement is false.
