Question

Factorial of a negative number is always greater than 1.
A. True
B. False
C. Either
D. Neither

Answer 1

Hint: Factorial is not defined for a negative number. Factorial zero is defined as equal to 1.

Complete step-by-step answer:
Factorial is defined by the basis of gamma function and gamma function is not defined for a negative number.
That’s why the factorial of a negative number is not defined.
So we cannot say the factorial of a negative number is always greater than 1.

Note: Factorial of an integer is defined as a product of integers less than from that until 1.
We can write it as
$n!=n\times (n-1)\times (n-2)\times ...................3\times 2\times 1$