Notice that (365!/335!) =
(365*364*363*362..........338*337*336)
Note that there are 30 terms in the above.
And each one of these individual terms would be divided by 365.
So we would have
(365/365)*(364/365)*(363/365)*(362/365)........(338/365)*(337*365)*(336/365)
And note that the first term is 1, but all the rest of the terms are <1.
And the result of the last division (336/365) = .9205479452054795
And since this is being multiplied by all the preceding multiplications whose total product is < 1, we can say that the result of this expression is < 0.9205479452054795
(In fact, it's far less....)
I leave it to you to find the exact result......!!!!