How do I know ? Because the factorial operation (denoted by '!') is only defined for integers. The calculation is nonsense, since the denominator for the ratio is undefined.
actually it is a possible lack of math formalism being exhibited ...
I enter 1.6 into my windoze {calculator\"scientific setting"} and hit the {n!} button and get 1.4296245588603044182985600527885
I also got a message that "the requested operation may take a long time to complete: do you want to continue?" when I asked it to compute 41469.4!
the answer for that is 1.4982978786211478993674730926215e+173487
the actual function for real numbers is called the gamma function
Gamma Function -- from Wolfram MathWorld
where it "is defined to be an extension of the factorial to complex and real number arguments."
and this would be what the calculator is actually using, and someone just using the button would not be aware of this difference.
the original use in the formula is for where you have a set on {N} items (an integer) and two (integer) subsets {M} and not{M} where {M}+not{M}={N}
as would be the case where you had an identified number of microstates (you don't get half a state)
we are limited in our ability to understand
by our ability to understand
Rebel
AAmerican
.Zen
[Deist
{{{Buddha walks off laughing with joy}}}