In this article I have used method which tells that number of solutions of Diophantine equation: n! = P(s) is infinite if some condition is satisfied. I have applied Inverse Laplace Transform to n! = P(s) and got function f(t) which is easier to deal with. The condition is given in section below contains zero of f(t) or zero of some modified function of f(t): g(t) = f(t) - h(t).