1-(364!/330!)*(1/365^34)=

This can be written as: 1 - 364!/(364 - 34)!/365³⁴ = 1 - npr(364,34)/365³⁴

$${\mathtt{1}}{\mathtt{\,-\,}}{\frac{{\left({\frac{{\mathtt{364}}{!}}{({\mathtt{364}}{\mathtt{\,-\,}}{\mathtt{34}}){!}}}\right)}}{{{\mathtt{365}}}^{{\mathtt{34}}}}} = {\mathtt{0.814\: \!383\: \!238\: \!874\: \!715\: \!2}}$$

Looks like a "Birthday Problem" ......

BTW, Alan....we need to get your BDay for our records .....!!!!